General Parabolic Mixed Order Systems in Lp and Applications

In this text, a theory for general linear parabolic partial differential equations is established, which covers equations with inhomogeneous symbol structure as well as mixed order systems. Typical applications include several variants of the Stokes system and free boundary value problems. We show w...

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Main Authors: Denk, Robert. (Author, http://id.loc.gov/vocabulary/relators/aut), Kaip, Mario. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2013.
Edition:1st ed. 2013.
Series:Operator Theory: Advances and Applications, 239
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-02000-6
Table of Contents:
  • Introduction and Outline
  • 1 The joint time-space H(infinity)-calculus
  • 2 The Newton polygon approach for mixed-order systems.-3 Triebel-Lizorkin spaces and the Lp-Lq setting.- 4 Application to parabolic differential equations
  • List of figures.-Bibliography
  • List of symbols
  • Index.