Research Catalog

Partial differential equations

Title
Partial differential equations / Jürgen Jost.
Author
Jost, Jürgen, 1956-
Publication
New York : Springer, ©2007.

Items in the Library & Off-site

Filter by

1 Item

StatusFormatAccessCall NumberItem Location
TextUse in library QA377 .J66 2007Off-site

Details

Description
xiii, 356 pages : illustrations; 25 cm
Series Statement
Graduate texts in mathematics ; 214
Uniform Title
Graduate texts in mathematics ; 214.
Subject
  • Differential equations, Partial
  • 31.45 partial differential equations
  • 31.46 functional analysis
  • Partiële differentiaalvergelijkingen
  • Equações diferenciais parciais (análise;textos avançados)
Note
  • Earlier edition published 2002.
Bibliography (note)
  • Includes bibliographical references (p. [347]-348) and index.
Contents
Introduction: what are partial differential equations? -- The Laplace equation as the prototype of an elliptic partial differential equation of second order -- The maximum principle -- Existence techniques I: methods based on the maximum principle -- Existence techniques II: parabolic methods, the heat equation -- Reaction-diffusion equations and systems -- The wave equation and its connections with Laplace and heat equations -- The heat equation, semigroups, and Brownian motion -- The Dirichlet principle. Variational methods for the solution of PDEs (existence techniques III) -- Sobolev spaces and L² regularity theory -- Strong solutions -- The regularity theory of Schauder and the continuity method (Existence techniques IV) -- The Moser iteration method and the Regularity theorem of de Giorgi and Nash.
ISBN
  • 0387493182
  • 9780387493183
  • 9780387493190
  • 0387493190
  • 9780387419183 (canceled/invalid)
LCCN
  • 2006936341
  • 9780387493183
OCLC
  • ocm80015117
  • 80015117
  • SCSB-1427871
Owning Institutions
Princeton University Library