Partial Differential Equations: A unified Hilbert Space Approach: 55 (De Gruyter Expositions in Mathematics, 55) - Image 1

£169.01

De Gruyter Partial Differential Equations: A unified Hilbert Space Approach: 55 (De Gruyter Expositions in Mathematics, 55)

Name: Partial Differential Equations: A unified Hilbert Space Approach: 55 (De Gruyter Expositions in Mathematics, 55)
Brand: De Gruyter
Price: 169.01 GBP
Availability: InStock

Differential Equations

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Description

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.

Product Specifications

Brand: De Gruyter
Format: hardcover
ASIN: 3110250268
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 16 June 2011
Listed Since: 22 April 2011

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De Gruyter Partial Differential Equations: A unified Hilbert Space Approach: 55 (De Gruyter Expositions in Mathematics, 55)

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