Spelling suggestions: "subject:"neumann problem"" "subject:"heumann problem""
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A sufficient condition for subellipticity of the d-bar-Neumann problemHerbig, Anne-Katrin, January 2004 (has links)
Thesis (Ph. D.)--Ohio State University, 2004. / Title from first page of PDF file. Document formatted into pages; contains vi, 55 p. : ill. Advisor: McNeal, J.D., Dept. of Mathematics. Includes bibliographical references (p. 54-55).
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Multiple nodal solutions for some singularly perturbed Neumann problems. / Multiple nodal solutionsJanuary 2004 (has links)
Chan Sik Kin. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 38-41). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.4 / Chapter 2 --- Preliminary analysis --- p.11 / Chapter 3 --- Liapunov-Schmidt Reduction --- p.19 / Chapter 4 --- The reduced problem: A Minimizing Procedure --- p.32 / Chapter 5 --- Proof of the theorem 1.2 --- p.35 / Bibliography --- p.38
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Geometry and analysis on real hypersurfaces.January 1995 (has links)
by Wong Sai Yiu. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 94-97). / Introduction --- p.iii / Chapter 1 --- Invariants on ideals of holomorphic function germs --- p.1 / Chapter 1.1 --- Preliminaries --- p.1 / Chapter 1.2 --- Ideals of holomorphic function germs --- p.3 / Chapter 1.3 --- The order of contact of an ideal --- p.7 / Chapter 1.4 --- Higher order invariants --- p.11 / Chapter 2 --- Geometry on real hypersurfaces of Cn --- p.14 / Chapter 2.1 --- CR geometry --- p.14 / Chapter 2.2 --- The associated family of holomorphic ideals on real subvaxiety of Cn --- p.18 / Chapter 2.3 --- Relationships between points of finite type and complex varieties --- p.25 / Chapter 2.4 --- The case of pseudoconvex real hypersurfaces --- p.33 / Chapter 2.5 --- Other finite type conditions --- p.35 / Chapter 3 --- Point of finite type and the d-Neumann problem --- p.44 / Chapter 3.1 --- Introduction --- p.44 / Chapter 3.2 --- Subellipticity and subelliptic multipliers --- p.47 / Chapter 3.3 --- Geometry on Kohn's ideals of subelliptic multipliers --- p.60 / Chapter 3.4 --- The Diederich - Fornaess theorem --- p.66 / Chapter 3.5 --- Catlin's necessary condition on subellipticity --- p.69 / Chapter 4 --- Analysis on finite type domains --- p.78 / Chapter 4.1 --- The Bergman projection --- p.78 / Chapter 4.2 --- Boundary regularity of proper holomorphic mappings --- p.83 / Chapter 4.3 --- Local regularity and extension of CR mappings --- p.88 / Bibliography --- p.94
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A higher-order energy expansion to two-dimensional singularly perturbed Neumann problems.January 2004 (has links)
Yeung Wai Kong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 51-55). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Some Preliminaries --- p.13 / Chapter 3 --- "Approximate Function we,p" --- p.17 / Chapter 4 --- "The Computation Of Je[we,p]" --- p.21 / Chapter 5 --- The Signs of c1 And c3 --- p.30 / Chapter 6 --- The Asymptotic Behavior of ue and Je[ue] --- p.35 / Chapter 7 --- "The Proofs Of Theorem 1.1, Theorem 1.2 And Corol- lary 11" --- p.40 / Appendix --- p.43 / Bibliography --- p.51
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A nonlocal Neumann problem for semilinear elliptic equations.January 2011 (has links)
Ng, Chit Yu. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 89-90). / Abstracts in English and Chinese.
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Concentration phenomena for a singularly perturbed Neumann problem.January 2010 (has links)
Ao, Weiwei. / "August 2010." / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 92-97). / Abstracts in English and Chinese. / Abstract --- p.ii / Acknowledgement --- p.v / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Spikes on Single Line-Segments --- p.12 / Chapter 2.1 --- Ansatz and sketch of the proof --- p.12 / Chapter 2.2 --- Linear theory --- p.15 / Chapter 2.3 --- The non linear projected problem --- p.20 / Chapter 2.4 --- Projection of the error and proof of Theorem 1.0.1 --- p.24 / Chapter 3 --- The triple junction solutions --- p.33 / Chapter 3.1 --- Approximate solutions --- p.33 / Chapter 3.2 --- linear and nonlinear projected problem --- p.35 / Chapter 3.3 --- Error estimates and the proof of theorem 1.0.2 --- p.35 / Chapter 4 --- Layer concentrations in three-dimensional domain --- p.45 / Chapter 4.1 --- Preliminaries and setting up the problem --- p.45 / Chapter 4.1.1 --- A linear model problem --- p.45 / Chapter 4.1.2 --- Setting up the problem in suitable coordinates --- p.53 / Chapter 4.2 --- The gluing procedure --- p.62 / Chapter 4.3 --- The invertibility of L2 --- p.65 / Chapter 4.4 --- Solving the nonlinear projected problem --- p.67 / Chapter 4.5 --- Estimates of the projection against ∇w and Z --- p.72 / Chapter 4.5.1 --- estimates for the projection of the error --- p.73 / Chapter 4.5.2 --- projection of terms involving φ --- p.78 / Chapter 4.5.3 --- projection of errors on the boundary --- p.80 / Chapter 4.6 --- "The system for (f1, f2, e):proof of the theorem" --- p.81
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Compactness of the dbar-Neumann problem and Stein neighborhood basesSahutoglu, Sonmez 16 August 2006 (has links)
This dissertation consists of two parts. In the first part we show that for 1 k 1, a complex manifold M of dimension at least k in the boundary of a smooth
bounded pseudoconvex domain
in Cn is an obstruction to compactness of the @-
Neumann operator on (p, q)-forms for 0 p k n, provided that at some point
of M, the Levi form of b
has the maximal possible rank n − 1 − dim(M) (i.e. the
boundary is strictly pseudoconvex in the directions transverse to M). In particular,
an analytic disc is an obstruction to compactness of the @-Neumann operator on
(p, 1)-forms, provided that at some point of the disc, the Levi form has only one
vanishing eigenvalue (i.e. the eigenvalue zero has multiplicity one). We also show
that a boundary point where the Levi form has only one vanishing eigenvalue can
be picked up by the plurisubharmonic hull of a set only via an analytic disc in the
boundary.
In the second part we obtain a weaker and quantified version of McNealÂs Property
( eP) which still implies the existence of a Stein neighborhood basis. Then we give
some applications on domains in C2 with a defining function that is plurisubharmonic
on the boundary.
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Boundary behavior of the Bergman kernel function on strongly pseudoconvex domains with respect to weighted Lebesgue measureKennell, Lauren R. January 2005 (has links)
Thesis (Ph. D.)--Ohio State University, 2005. / Title from first page of PDF file. Document formatted into pages; contains vii, 79 p. Includes bibliographical references (p. 79). Available online via OhioLINK's ETD Center
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The Gierer-Meinhardt system in various settings.January 2009 (has links)
Tse, Wang Hung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 75-77). / Abstract also in Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- On bounded interval with n jumps in inhibitor diffusivity --- p.3 / Chapter 2.1 --- Introduction --- p.3 / Chapter 2.2 --- Preliminaries --- p.5 / Chapter 2.3 --- Review of previous results in the two segment case: interior spike and spike near the jump discontinuity of the diffusion coefficient --- p.7 / Chapter 2.4 --- The construction and analysis of spiky steady-state solutions --- p.9 / Chapter 2.5 --- Stability Analysis --- p.10 / Chapter 2.6 --- Spikes near the jump discontinuity xb of the inhibitor diffusivity --- p.11 / Chapter 2.7 --- Stability Analysis II: Small Eigenvalues of the Spike near the Jump --- p.16 / Chapter 2.8 --- Existence of interior spikes for N segments --- p.20 / Chapter 2.9 --- Existence of a spike near a jump for N segments --- p.24 / Chapter 2.10 --- Appendix: The Green´ةs function for three segments --- p.25 / Chapter 3 --- On a compact Riemann surface without boundary --- p.30 / Chapter 3.1 --- Introduction --- p.30 / Chapter 3.2 --- Some Preliminaries --- p.35 / Chapter 3.3 --- Existence --- p.43 / Chapter 3.4 --- Refinement of Approximate Solution --- p.50 / Chapter 3.5 --- Stability --- p.52 / Chapter 3.6 --- Appendix I: Expansion of the Laplace-Beltrami Operator --- p.67 / Chapter 3.7 --- Appendix II: Some Technical Calculations --- p.73
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Boundary regularity of the Neumann problem for the Kohn Laplacian on the Heisenberg group /Hladky, Robert K. January 2004 (has links)
Thesis (Ph. D.)--University of Washington, 2004. / Vita. Includes bibliographical references (p. 111-112).
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