Partial Differential Equations by Rainer PicardPartial Differential Equations by Rainer Picard

Partial Differential Equations

byRainer Picard

Hardcover | June 16, 2011

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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.
Rainer Picard, Dresden University of Technology, Germany; Des McGhee, University of Strathclyde, Glasgow, Scotland, UK.
Title:Partial Differential EquationsFormat:HardcoverDimensions:488 pages, 9.61 × 6.69 × 1.06 inPublished:June 16, 2011Publisher:Walter de Gruyter Gmbh US SRLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3110250268

ISBN - 13:9783110250268