General Parabolic Mixed Order Systems in Lp and Applications

This text establishes a theory for general linear parabolic partial differential equations that covers equations with inhomogeneous symbol structure as well as mixed-order systems.

General approach to non-standard parabolic equations and systems Unified treatment in several types of non-integer Lp-Sobolev spaces Applicable to a large class of equations, e.g. to free boundary value problems and to equations in fluid dynamics and thermoelasticity ? Includes supplementary material: sn.pub/extras

Inhalt
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.