Über die C2-Kompaktheit der Bahn von Lösungen semflinearer parabolischer Systeme
Reinhard Redlinger · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1982
Synopsis The semilinear parabolic systemut+A(x, D)u=g(u) in (0, ∞) × Ω, Ω⊂ℝnbounded,u∈ ℝN, with homogeneous boundary conditionsB(x, D)u=0 on (0, ∞)×∂Ω is considered. The non-linearitygis assumed to be locally Lipschitz-continuous. It is shown that the orbit of a bounded regular solutionuis relatively compact in .