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

Published online by Cambridge University Press:  14 November 2011

Reinhard Redlinger
Reinhard Redlinger
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, West Germany
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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 .

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 1-2 , 1982 , pp. 99 - 103
Copyright
Copyright © Royal Society of Edinburgh 1982

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