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Equações de difusão não locais do tipo Neumann / Neumann non-local diffusion equationsBanzatto, Allan Fernandes 27 September 2018 (has links)
Neste trabalho estudaremos uma classe de problemas não locais do tipo Neumann. Consideramos o caso linear não homogêneo, bem como o semi-linear com não linearidades globalmente Lipschitz. Procuramos escrever um trabalho auto-contido. Apresentamos alguns resultados clássicos de Análise e suas aplicações no contexto de equação de evolução não local. Na introdução, apresentamos uma motivação para tais equações tendo em vista os fenômenos de reação e difusão baseados no trabalho de P. Fife. / In this work we will study a class of nonlocal problems of the Neumann type. We consider the non-homogeneous linear case as well as the semi-linear one with globally Lipschitz non-linearities. We seek to write a self-contained work with some classic results of Analysis and its applications in the context of non-local evolution equations. In the introduction, we present a motivation for such equations in view of the phenomena of reaction and diffusion based on the work of P. Fife
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Separation of variables and integrabilityScott, Daniel R. D. January 1995 (has links)
No description available.
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Deformed Poisson W-algebras of type AWalker, Lachlan Duncan January 2018 (has links)
For the algebraic group SLl+1(C) we describe a system of positive roots associated to conjugacy classes in its Weyl group Sl+1. Using this we explicitly describe the algebra of regular functions on certain transverse slices to conjugacy classes in SLl+1(C) as a polynomial algebra of invariants. These may be viewed as an algebraic group analogue of certain parabolic invariants that generate the W-algebra in type A found by Brundan and Kleshchev.
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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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Analyse mathématique des mouvements des rigides dans un fluide parfaitHouot, Jean Gabriel Tucsnak, Marius. January 2008 (has links) (PDF)
Thèse de doctorat : Mathématiques appliquées : Nancy 1 : 2008. / Titre provenant de l'écran-titre.
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Karl Neumann ein beitrag zur geschichte der wissenschaftlichen geographie im 19. jahrhundert ...Kupferschmidt, Franz, January 1935 (has links)
Inaug.-diss.--Leipzig. / Lebenslauf. "Schrifttum": p. 93-98.
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