Name: Partial Differential Equations (de Gruyter Expositions in Mathematics) (en Inglés)
Price: 381840.00 CLP
Availability: InStock
Author: Rainer Picard
ISBN: 9783110250268

portada Partial Differential Equations (de Gruyter Expositions in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

De Gruyter

Autor

Rainer Picard

Año

2011

Idioma

Inglés

N° páginas

469

Encuadernación

Tapa Dura

ISBN13

9783110250268

N° edición

Categorías

Cálculo diferencial y ecuaciones

Partial Differential Equations (de Gruyter Expositions in Mathematics) (en Inglés)

Rainer Picard (Autor) · De Gruyter · Tapa Dura

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Origen: Estados Unidos (Costos de importación incluídos en el precio)

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Reseña del libro "Partial Differential Equations (de Gruyter Expositions in Mathematics) (en Inglés)"

This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented. The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.