Partial Differential Equations : : A unified Hilbert Space Approach /

Partial Differential Equations : : A unified Hilbert Space Approach / / Rainer Picard, Des McGhee.

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 s...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
VerfasserIn:
Picard, Rainer,
McGhee, Des,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©2011
Year of Publication:2011
Language:English
Series:De Gruyter Expositions in Mathematics , 55
Online Access:
Physical Description:1 online resource (469 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Nomenclature
  • Chapter 1 Elements of Hilbert Space Theory
  • Chapter 2 Sobolev Lattices
  • Chapter 3 Linear Partial Differential Equations with Constant Coefficients in Rn+1, n ∈ N
  • Chapter 4 Linear Evolution Equations
  • Chapter 5 Some Evolution Equations of Mathematical Physics
  • Chapter 6 A “Royal Road” to Initial Boundary Value Problems of Mathematical Physics
  • Conclusion
  • Bibliography
  • Index

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