Name: existence families, functional calculi and evolution equations (en Inglés)
SKU: 3485797
Price: 1127.61 MXN
Availability: InStock
Author: delaubenfels
ISBN: 9783540577034

portada existence families, functional calculi and evolution equations (en Inglés)

existence families, functional calculi and evolution equations (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

delaubenfels

Idioma

Inglés

N° páginas

234

ISBN

3540577033

ISBN13

9783540577034

Categorías

Cálculo diferencial y ecuaciones

existence families, functional calculi and evolution equations (en Inglés)

Delaubenfels (Autor) · Springer · Libro Físico

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Reseña del libro "existence families, functional calculi and evolution equations (en Inglés)"

this book presents an operator-theoretic approach to ill-posed evolution equations. it presents the basic theory, and the more surprising examples, of generalizations of strongly continuous semigroups known as existent families and regularized semigroups. these families of operators may be used either to produce all initial data for which a solution in the original space exists, or to construct a maximal subspace on which the problem is well-posed. regularized semigroups are also used to construct functional, or operational, calculi for unbounded operators. the book takes an intuitive and constructive approach by emphasizing the interaction between functional calculus constructions and evolution equations. one thinks of a semigroup generated by a as eta and thinks of a regularized semigroup generated by a as eta g(a), producing solutions of the abstract cauchy problem for initial data in the image of g(a). material that is scattered throughout numerous papers is brought together and presented in a fresh, organized way, together with a great deal of new material.