Nonlinear Evolution Equations 1st Edition by Songmu Zheng ISBN 9781584884521 1584884521
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Product details:
ISBN 10: 1584884521
ISBN 13: 9781584884521
Author: Songmu Zheng
Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator methods, the monotone iterative method and invariant regions, the global existence and uniqueness theory for small initial data, and the asymptotic behavior of solutions and global attractors. Many of the results are published in book form for the first time. Bibliographic comments in each chapter provide the reader with references and further reading materials to enable further research and study.
Table of contents:
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Semigroup Method – Fundamental techniques for solving evolution equations using semigroup theory.
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Compactness and Monotone Operator Methods – Approaches for establishing existence and uniqueness of solutions.
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Monotone Iterative Method and Invariant Regions – Methods for constructing approximate solutions and studying their properties.
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Global Existence and Uniqueness Theory – Focused on solutions with small initial data.
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Asymptotic Behavior and Global Attractors – Analysis of the long-term behavior of solutions and their attractor structures.
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