The Leading eBooks Store Online 3,788,875 members ⚫ 1,234,658 ebooks

New to

Learn more

Partial Differential Equations

A unified Hilbert Space Approach

Partial Differential Equations by Rainer Picard
Add to cart
US$ 224.00
(If any tax is payable it will be calculated and shown at checkout.)

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 is 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. This global point of view is taken by focussing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can naturally be developed. Applications to many areas of mathematical physics are presented.

The book aims to be a largely self-contained. Full proofs to all but the most straightforward results are provided. It is therefore highly suitable as a resource for graduate courses and for researchers, who will find new results for particular evolutionary system from mathematical physics.

De Gruyter; June 2011
488 pages; ISBN 9783110250275
Read online, or download in secure PDF format
Title: Partial Differential Equations
Author: Rainer Picard; Des McGhee