+publisher:"Michigan State University" +contributor:("Abbas, Casim")

Michigan State University

1. Kasebian, Kaveh. Concave fillings and branched covers.

Degree: 2018, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:16402

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Thesis Ph. D. Michigan State University. Mathematics 2018

This dissertation contains two results. The first result involves concave symplectic struc-tures on a neighborhood of certain… (more)

Subjects/Keywords: Contact manifolds; Mathematics

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APA (6^th Edition):

Kasebian, K. (2018). Concave fillings and branched covers. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:16402

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Kasebian, Kaveh. “Concave fillings and branched covers.” 2018. Thesis, Michigan State University. Accessed February 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:16402.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Kasebian, Kaveh. “Concave fillings and branched covers.” 2018. Web. 26 Feb 2021.

Vancouver:

Kasebian K. Concave fillings and branched covers. [Internet] [Thesis]. Michigan State University; 2018. [cited 2021 Feb 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:16402.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kasebian K. Concave fillings and branched covers. [Thesis]. Michigan State University; 2018. Available from: http://etd.lib.msu.edu/islandora/object/etd:16402

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

2. Bohn, Jonathan Matthew. Controllability of hyperbolic and degenerate parabolic equations in one dimension.

Degree: 2018, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:19652

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Thesis Ph. D. Michigan State University. Mathematics 2018

In this thesis, we study the controllability problem for two systems of partial differential equations. We will… (more)

Subjects/Keywords: Differential equations, Partial; Control theory; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Bohn, J. M. (2018). Controllability of hyperbolic and degenerate parabolic equations in one dimension. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:19652

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bohn, Jonathan Matthew. “Controllability of hyperbolic and degenerate parabolic equations in one dimension.” 2018. Thesis, Michigan State University. Accessed February 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:19652.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bohn, Jonathan Matthew. “Controllability of hyperbolic and degenerate parabolic equations in one dimension.” 2018. Web. 26 Feb 2021.

Vancouver:

Bohn JM. Controllability of hyperbolic and degenerate parabolic equations in one dimension. [Internet] [Thesis]. Michigan State University; 2018. [cited 2021 Feb 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:19652.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bohn JM. Controllability of hyperbolic and degenerate parabolic equations in one dimension. [Thesis]. Michigan State University; 2018. Available from: http://etd.lib.msu.edu/islandora/object/etd:19652

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

3. Al-Yasiri, Khaldoun. Gradient estimates for solutions to divergence form elliptic equations with piecewise constant coefficients in dimension N.

Degree: 2016, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:4411

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Thesis Ph. D. Michigan State University. Mathematics 2016

In a bounded C^1,α₀ domain Ω \subset ℝⁿ, 0<α₀ ≤ 1, contains two simply connected and strictly convex C^1,α₀… (more)

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Thesis Ph. D. Michigan State University. Mathematics 2016

In a bounded C^1,α₀ domain Ω \subset ℝⁿ, 0<α₀ ≤ 1, contains two simply connected and strictly convex C^1,α₀ subdomains (inclusions) D₁ and D₂ that satisfy D₁\cup D₂ \subset \subset Ω and D₁̅\cap D₂̅={ 0 }, we study the following elliptic differential equation \begin{equation}\label{eq:eq2-intro-abs} \begin{split} \begin{cases} {div} ≤ ft(a(x)∇ u))=0 {in} ;; Ω,\ \partial_νu(x)=g {on} ;; \partial Ω,\ ∈t_{\partial Ω} u=0, \end{cases} \end{split} \end{equation} where a(x)=1+(k-1)χ_{(D₁\cup D₂)}(x), 0<k<∞, ;k\neq 1, and g∈ L²₀(\partial Ω):={ g∈ L²(\partial Ω):∈t_{\partial Ω} g=0}.The problem arises from studying fiber re-inforced composite media with closely spaced inclusions in dimension n=2. For dimension n=3, the problem also appear in the study of steady state solutions to Maxwell's equations. The bound on the gradient yields the boundedness of the strain in fiber re-inforced materials and electrical fields when the two inclusions are touching each other. Following the ideas of , we assume that D₁ lies in the half space x_n<0, and D₂ in the half space x_n>0. Then we begin by separating the inclusions by a distance δ >0, \emph{that is}, we set \Ddelta{1}=D_1-\frac{δ}{2}\bold{e_n} ,;{and};; \Ddelta{2}=D₂₊\frac{δ}{2}\bold{e_n}, where \bold{e_n}=(0',1). Then we study the approximate differential equation corresponding to the separated inclusions which is \begin{equation}\label{eq:eq3-introduction-abs} \begin{split} \begin{cases} {div} ≤ ft(a_δ(x)∇ u_δ))=0 {in} ;; Ω,\ \partial_νu_δ(x)=g {on} ;; \partial Ω,\ ∈t_{\partial Ω} u_δ=0,\ \end{cases} \end{split} \end{equation} where g∈ L²₀(\partial Ω) and a_δ(x)=1+(k-1)χ_{(D₁^δ\cup D^δ₂)}(x).The solution of the elliptic equation (\ref{eq:eq3-introduction-abs}) has an integral representation in terms of potential functions defined on theboundary of each subdomain. From the representation formula, we derive uniform piecewise C^1,α, 0<α<α₀, estimates for this solution which are independent of the distance between the subdomains. That is, we find the estimate \begin{align*} \norm{\ud}_{C^1,α\Big(Ω_{~{ε}}\setminusD₁^{δ̅\cup D₂^{δ} }\Big)}+ \norm{\ud}_{C^1,α(D₁^δ̅)}+\norm{\ud}_{C^1,α(D₂^δ̅)} ≤ C \norm{g}_{L²(\partial Ω)}, \end{align*} where Ω_~{ε}={ x∈ Ω : {dist}(x,\partial Ω)>~{ε} } and C is independent of δ. Our result extends the earlier result for dimension n=2 , but the…

Advisors/Committee Members: Zhou, Zhengfang, Abbas, Casim, Yan, Baisheng, Tang, Moxun, Wong, Willie.

Subjects/Keywords: Differential equations, Elliptic; Conjugate gradient methods; Lipschitz spaces; Applied mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Al-Yasiri, K. (2016). Gradient estimates for solutions to divergence form elliptic equations with piecewise constant coefficients in dimension N. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:4411

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Al-Yasiri, Khaldoun. “Gradient estimates for solutions to divergence form elliptic equations with piecewise constant coefficients in dimension N.” 2016. Thesis, Michigan State University. Accessed February 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:4411.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Al-Yasiri, Khaldoun. “Gradient estimates for solutions to divergence form elliptic equations with piecewise constant coefficients in dimension N.” 2016. Web. 26 Feb 2021.

Vancouver:

Al-Yasiri K. Gradient estimates for solutions to divergence form elliptic equations with piecewise constant coefficients in dimension N. [Internet] [Thesis]. Michigan State University; 2016. [cited 2021 Feb 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:4411.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Al-Yasiri K. Gradient estimates for solutions to divergence form elliptic equations with piecewise constant coefficients in dimension N. [Thesis]. Michigan State University; 2016. Available from: http://etd.lib.msu.edu/islandora/object/etd:4411

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

4. Fan, Wei, Ph. D. Plugs in simply-connected 4 manifolds with boundaries.

Degree: 2015, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:3672

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Thesis Ph. D. Michigan State University. Mathematics 2015

In 1986, S. Boyer generalized Freedman's result to simply-connected topological 4 manifolds with boundaries. He proved in… (more)

Subjects/Keywords: Four-manifolds (Topology); Mathematics

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APA (6^th Edition):

Fan, Wei, P. D. (2015). Plugs in simply-connected 4 manifolds with boundaries. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:3672

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Fan, Wei, Ph D. “Plugs in simply-connected 4 manifolds with boundaries.” 2015. Thesis, Michigan State University. Accessed February 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:3672.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Fan, Wei, Ph D. “Plugs in simply-connected 4 manifolds with boundaries.” 2015. Web. 26 Feb 2021.

Vancouver:

Fan, Wei PD. Plugs in simply-connected 4 manifolds with boundaries. [Internet] [Thesis]. Michigan State University; 2015. [cited 2021 Feb 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:3672.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Fan, Wei PD. Plugs in simply-connected 4 manifolds with boundaries. [Thesis]. Michigan State University; 2015. Available from: http://etd.lib.msu.edu/islandora/object/etd:3672

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

5. Maridakis, Manousos. The concentration principle for Dirac operators.

Degree: 2014, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:2604

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Thesis Ph. D. Michigan State University. Mathematics 2014.

The symbol map σ of an elliptic operator carries essential topological and geometrical information about the underlying… (more)

Subjects/Keywords: Dirac equation; Manifolds (Mathematics); Differential operators; Theoretical mathematics

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APA (6^th Edition):

Maridakis, M. (2014). The concentration principle for Dirac operators. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:2604

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Maridakis, Manousos. “The concentration principle for Dirac operators.” 2014. Thesis, Michigan State University. Accessed February 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:2604.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Maridakis, Manousos. “The concentration principle for Dirac operators.” 2014. Web. 26 Feb 2021.

Vancouver:

Maridakis M. The concentration principle for Dirac operators. [Internet] [Thesis]. Michigan State University; 2014. [cited 2021 Feb 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:2604.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Maridakis M. The concentration principle for Dirac operators. [Thesis]. Michigan State University; 2014. Available from: http://etd.lib.msu.edu/islandora/object/etd:2604

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

6. Musselman, Bernard Clark, II. Diffusion for Markov wave equations.

Degree: 2012, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:699

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Thesis Ph. D. Michigan State University. Applied Mathematics 2012.

"We consider the long time evolution of solutions to a Schrodinger-type wave equation on a lattice,… (more)

Subjects/Keywords: Wave equation; Applied mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Musselman, Bernard Clark, I. (2012). Diffusion for Markov wave equations. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:699

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Musselman, Bernard Clark, II. “Diffusion for Markov wave equations.” 2012. Thesis, Michigan State University. Accessed February 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:699.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Musselman, Bernard Clark, II. “Diffusion for Markov wave equations.” 2012. Web. 26 Feb 2021.

Vancouver:

Musselman, Bernard Clark I. Diffusion for Markov wave equations. [Internet] [Thesis]. Michigan State University; 2012. [cited 2021 Feb 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:699.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Musselman, Bernard Clark I. Diffusion for Markov wave equations. [Thesis]. Michigan State University; 2012. Available from: http://etd.lib.msu.edu/islandora/object/etd:699

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

7. Kim, Seonghak. On the existence of Lipschitz solutions to some forward-backward parabolic equations.

Degree: 2015, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:3620

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Thesis Ph. D. Michigan State University. Mathematics 2015

In this dissertation we discuss a new approach for studying forward-backward quasilinear diffusion equations. Our main idea… (more)

Subjects/Keywords: Lipschitz spaces; Differential equations, Parabolic; Applied mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kim, S. (2015). On the existence of Lipschitz solutions to some forward-backward parabolic equations. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:3620

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Kim, Seonghak. “On the existence of Lipschitz solutions to some forward-backward parabolic equations.” 2015. Thesis, Michigan State University. Accessed February 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:3620.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Kim, Seonghak. “On the existence of Lipschitz solutions to some forward-backward parabolic equations.” 2015. Web. 26 Feb 2021.

Vancouver:

Kim S. On the existence of Lipschitz solutions to some forward-backward parabolic equations. [Internet] [Thesis]. Michigan State University; 2015. [cited 2021 Feb 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:3620.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kim S. On the existence of Lipschitz solutions to some forward-backward parabolic equations. [Thesis]. Michigan State University; 2015. Available from: http://etd.lib.msu.edu/islandora/object/etd:3620

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

8. Williams, Luke Morgan. Handlebody structures of rational balls.

Degree: 2015, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:3283

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It is known that for coprime integers p > q > 0, the lens space L(p²,pq-1) bounds a rational ball, B_p,q, arising as the 2-fold… (more)

Subjects/Keywords: Handlebodies; Four-manifolds (Topology); Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Williams, L. M. (2015). Handlebody structures of rational balls. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:3283

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Williams, Luke Morgan. “Handlebody structures of rational balls.” 2015. Thesis, Michigan State University. Accessed February 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:3283.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Williams, Luke Morgan. “Handlebody structures of rational balls.” 2015. Web. 26 Feb 2021.

Vancouver:

Williams LM. Handlebody structures of rational balls. [Internet] [Thesis]. Michigan State University; 2015. [cited 2021 Feb 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:3283.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Williams LM. Handlebody structures of rational balls. [Thesis]. Michigan State University; 2015. Available from: http://etd.lib.msu.edu/islandora/object/etd:3283

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

9. Park, Kyungbae. Some computations and applications of Heegaard Floer correction terms.

Degree: 2014, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:2543

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Thesis Ph. D. Michigan State University. Mathematics 2014.

In this dissertation we study some computations and applications of Heegaard Floer correction terms. In particular we… (more)

Subjects/Keywords: Floer homology; Knot theory; Low-dimensional topology; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Park, K. (2014). Some computations and applications of Heegaard Floer correction terms. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:2543

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Park, Kyungbae. “Some computations and applications of Heegaard Floer correction terms.” 2014. Thesis, Michigan State University. Accessed February 26, 2021. http://etd.lib.msu.edu/islandora/object/etd:2543.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Park, Kyungbae. “Some computations and applications of Heegaard Floer correction terms.” 2014. Web. 26 Feb 2021.

Vancouver:

Park K. Some computations and applications of Heegaard Floer correction terms. [Internet] [Thesis]. Michigan State University; 2014. [cited 2021 Feb 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:2543.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Park K. Some computations and applications of Heegaard Floer correction terms. [Thesis]. Michigan State University; 2014. Available from: http://etd.lib.msu.edu/islandora/object/etd:2543

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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