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