Second order parabolic differential equations / Gary M. Lieberman
Digitised Book 216.73.216.10 (0)
1996
Information About
This companion volume to "Elliptic Partial Differential Equations of Second Order" is an essentially self-contained exposition of the theory of second order parabolic (instead of elliptic) partial differential equations of second order, with emphasis on the theory of certain initial-boundary value problems in bounded space-time domains. In addition to the Cauchy-Dirichlet problem, which is the parabolic analog of the Dirichlet problem, it also includs oblique derivative problems. Preparatory material on such topics as functional analysis and harmonic analysis is added to make the book accessible to a large audience.
Additional Details
- Title
- Second order parabolic differential equations / Gary M. Lieberman
- Creators
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- Lieberman, Gary M., 1952-
- Subject
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- Differential equations, Parabolic
- Publisher
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- World Scientific, 1996
- National Library Board Singapore, 1996
- Digital Description
- application/pdf, xi, 439 p.
- Table of Contents
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- ch. I. Introduction -- ch. II. Maximum principles -- ch. III. Introduction to the theory of weak solutions -- ch. IV. Holder estimates -- ch. V. Existence, uniqueness, and regularity of solutions -- ch. VI. Further theory of weak solutions -- ch. VII. Strong solutions -- ch. VIII. Fixed point theorems and their applications -- ch. IX. Comparison and maximum principles -- ch. X. Boundary gradient estimates -- ch. XI. Global and local gradient bounds -- ch. XII. Holder gradient estimates and existence theorems -- ch. XIII. The oblique derivative problem for quasilinear parabolic equations...
- Copyright
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- All Rights Reserved. National Library Board Singapore 2009.