Linear and quasilinear parabolic systems : Sobolev space theory / David Hoff.

This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinea...

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Bibliographic Details
Main Author: Hoff, David Charles, 1948- (Author)
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2020]
Series:Mathematical surveys and monographs ; v. 251.
Subjects:
Differential equations, Partial.
Differential equations, Parabolic.
Partial differential equations > Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] > Initial-boundary value problems for second-order parabolic systems.
Partial differential equations > Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] > Nonlinear initial-boundary value problems for nonlinear parabolic equations.
Physical Description:xi, 226 pages : illustrations ; 26 cm.
Format: Book
Incomplete Contents:
  • Introduction
  • Differential Equations in Hilbert Space
  • Linear Parabolic Systems: Basic Theory
  • Elliptic Systems: Higher Order Regularity
  • Parabolic Systems: Higher Order Regularity
  • Applications to Quasilinear Systems
  • Appendix: Selected Topics in Analysis.