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Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space
  • Language: en
  • Pages: 145

Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space

Extends the theory for normally hyperbolic invariant manifolds to infinite dimensional dynamical systems in a Banach space, thereby providing tools for the study of PDE's and other infinite dimensional equations of evolution. In the process, the authors establish the existence of center-unstable and center-stable manifolds in a neighborhood of the unperturbed compact manifold. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Algebraic and Strong Splittings of Extensions of Banach Algebras
  • Language: en
  • Pages: 129

Algebraic and Strong Splittings of Extensions of Banach Algebras

In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $\sum\:\ 0\rightarrow I\rightarrow\frak A\overset\pi\to\longrightarrow A\rightarrow 0$ be an extension of $A$, where $\frak A$ is a Banach algebra and $I$ is a closed ideal in $\frak A$. The extension splits algebraically (respectively, splits strongly) if there is a homomorphism (respectively, continuous homomorphism) $\theta\: A\rightarrow\frak A$ such that $\pi\circ\theta$ is the identity on $A$. Consider first for which Banach algebras $A$ it is true that every extension of $A$ in a particular class of extensions splits, either algebraically or strongly, and second for which Banach algebras it is true...

Local $L^p$-Brunn-Minkowski Inequalities for $p
  • Language: en
  • Pages: 78

Local $L^p$-Brunn-Minkowski Inequalities for $p

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Special Groups
  • Language: en
  • Pages: 271

Special Groups

This monograph presents a systematic study of Special Groups, a first-order universal-existential axiomatization of the theory of quadratic forms, which comprises the usual theory over fields of characteristic different from 2, and is dual to the theory of abstract order spaces. The heart of our theory begins in Chapter 4 with the result that Boolean algebras have a natural structure of reduced special group. More deeply, every such group is canonically and functorially embedded in a certain Boolean algebra, its Boolean hull. This hull contains a wealth of information about the structure of the given special group, and much of the later work consists in unveiling it. Thus, in Chapter 7 we in...

Attractors Under Autonomous and Non-autonomous Perturbations
  • Language: en
  • Pages: 259

Attractors Under Autonomous and Non-autonomous Perturbations

This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a unified manner. When modelling real world phenomena imprecisions are unavoidable. On the other hand, it is paramount that mathematical models reflect the modelled phenomenon, in spite of unimportant neglectable influences discounted by simplifications, small errors introduced by empirical laws or measurements, among others. The authors deal with this issue by investigating the permanence of dynamical structures and continuity properties of the at...

On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves
  • Language: en
  • Pages: 105

On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves

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Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs
  • Language: en
  • Pages: 136

Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs

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Rational Curves on Quasi-Projective Surfaces
  • Language: en
  • Pages: 169

Rational Curves on Quasi-Projective Surfaces

This book is intended for graduate students and research mathematicians working in algebraic geometry

Norms on Possibilities. I: Forcing with Trees and Creatures
  • Language: en
  • Pages: 186

Norms on Possibilities. I: Forcing with Trees and Creatures

This book is intended for graduate students and research mathematicians interested in mathematical logic and foundations.

XVIIth International Congress on Mathematical Physics
  • Language: en
  • Pages: 743

XVIIth International Congress on Mathematical Physics

This is an in-depth study of not just about Tan Kah-kee, but also the making of a legend through his deeds, self-sacrifices, fortitude and foresight. This revised edition sheds new light on his political agonies in Mao's China over campaigns against capitalists and intellectuals.