Abstract Cauchy Problems Three Approaches |
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Author:
| Filinkov, Alexei Melnikova, Irina V. |
Series title: | Monographs and Surveys in Pure and Applied Mathematics Ser. |
ISBN: | 978-1-58488-250-3 |
Publication Date: | Mar 2001 |
Publisher: | CRC Press LLC
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Imprint: | Chapman & Hall/CRC |
Book Format: | Hardback |
List Price: | USD $195.00 |
Book Description:
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Relevant to a variety of mathematical models in physics, engineering, and finance, this volume studies Cauchy problems that are not well-posed in the classical sense. It brings together and examines three major approaches to treating such problems: semigroup methods, abstract distribution methods, and regularization methods. Although extensively developed over the last decade, the authors provide a unique, self-contained account of these methods and demonstrate the profound connections...
More DescriptionRelevant to a variety of mathematical models in physics, engineering, and finance, this volume studies Cauchy problems that are not well-posed in the classical sense. It brings together and examines three major approaches to treating such problems: semigroup methods, abstract distribution methods, and regularization methods. Although extensively developed over the last decade, the authors provide a unique, self-contained account of these methods and demonstrate the profound connections between them. Accessible to beginning graduate students, this volume brings together many different ideas to serve as a reference on modern methods for abstract linear evolution equations.