Cargando…

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ito, Kazufumi
Otros Autores: Kappel, F.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific Publishing Company, 2002.
Colección:Series on advances in mathematics for applied sciences.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (518 pages)
Bibliografía:Includes bibliographical references (pages 489-492) and index.
ISBN:9789812777294
9812777296