Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Table of Contents - 1982 - Volume 93, Issue 1-2  

Research Article

Über die C2-Kompaktheit der Bahn von Lösungen semflinearer parabolischer Systeme

Reinhard Redlingera1

a1 Mathematisches Institut I, Universität Karlsruhe, West Germany

Synopsis

The semilinear parabolic system ut + A(x, D)u = g(u) in (0, ∞) × Ω, Ω⊂ℝn bounded, u ∈ ℝN, with homogeneous boundary conditions B(x, D)u=0 on (0, ∞)×∂Ω is considered. The non-linearity g is assumed to be locally Lipschitz-continuous. It is shown that the orbit of a bounded regular solution u is relatively compact in S0308210500031693_inline1.

(Received April 23 1982)

(Revised June 07 1982)