Evolution Equations and Approximations.

This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems. The implicit finite difference method of Euler is...

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Bibliographic Details
Main Author: Ito, Kazufumi
Other Authors: Kappel, F.
Format: eBook
Language:English
Published: Singapore : World Scientific Publishing Company, 2002.
Series:Series on advances in mathematics for applied sciences.
Subjects:
Online Access:Click for online access
Description
Summary:This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems. The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and th.
Physical Description:1 online resource (518 pages)
Bibliography:Includes bibliographical references (pages 489-492) and index.
ISBN:9789812777294
9812777296
Source of Description, Etc. Note:Print version record.