General Parabolic Mixed Order Systems in Lp and Applications

• Main Authors: Denk, Robert. (Author), Kaip, Mario. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkh©Þuser, 2013.
• Series: Operator Theory: Advances and Applications, 239
• Subjects: Mathematics.; Operator theory.; Partial differential equations.; Mathematical physics.; Partial Differential Equations.; Mathematical Physics.; Operator Theory.
• Online Access: View fulltext via EzAccess

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...

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.