EAN: 9783110250268

Bilder-Quelle: shopping24.de – Sport

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.

Produktinformationen zuletzt aktualisiert am
13.02.2026 um 18:35 Uhr

Produktzustand:

Verfügbarkeit:

Versandkosten:

Sonderpreis: