Partial Differential Equations A unified Hilbert Space Approach By: Rainer Picard; Des McGhee Publisher: De Gruyter Print ISBN: 9783110250268, 3110250268 eText ISBN: 9783110250275, 3110250276 Edition: 1st Copyright year: 2011 Format: PDF Available from $ 224.00 USD SKU: 9783110250275 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. SKU: 9783110250268 Ebooks here: https://ebookscoffee.sellpass.io/products/Partial-Differential-Equations
