Nonlinear Evolution Equations
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A01=Songmu Zheng
Absorbing Set
Analytic Semigroup
asymptotic analysis
attractor
Author_Songmu Zheng
Banach Space
Category=PBKJ
Cauchy Problem
datum
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
global
Global Attractor
global attractors
Global Lipschitz Condition
Global Mild Solution
inertial
Infinitesimal Generator
initial
Initial Data U0
Leray Schauder Fixed Point Theorem
Linear Heat Equation
Linear Semigroup
Local Lipschitz Condition
manifolds
mathematical physics applications
Mild Solution
Monotone Operator
monotone operator methods
Nonlinear Evolution Equations
Nonlinear Heat Equation
Nonlinear Parabolic Equations
Nonlinear Parabolic System
nonlinear partial differential equations methods
Ordinary Differential Equations
parabolic
partial differential equations
positive
Reflexive Banach Space
semigroup theory
Small Initial Data
sobolev
Sobolev Imbedding Theorem
space
Unique Classical Solution
Unique Global Classical Solution
Product details
- ISBN 9781584884521
- Weight: 557g
- Dimensions: 156 x 234mm
- Publication Date: 08 Jul 2004
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
Zheng, Songmu
