Partial Differential Equations
A unified Hilbert Space Approach
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. Thefocus 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 takenby 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.
488 pages; ISBN 9783110250275
, or download in
Title: Partial Differential Equations
Author: Rainer Picard; Des McGhee
The Foundations of Mathematics 2015 US$ 23.99 416 pages
A Gentle Introduction to Optimization 2014 US$ 32.00 284 pages
- Academic > Mathematics > Functional analysis > Linear topological spaces
- Academic > Mathematics > Functional analysis > Hilbert space
- Academic > Mathematics > General > Mathematics
- Academic > Mathematics > General > Mathematics, Medieval
- Academic > Mathematics > Analysis
- Mathematics > Differential Equations