Asymptotic estimates in Thompson's metric for semilinear parabolic equations

DOI10.1016/J.NA.2015.09.027zbMath1329.47074OpenAlexW2184267184MaRDI QIDQ897354

Gerd Herzog, Peer Christian Kunstmann

Publication date: 17 December 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.09.027

zbMATH Keywords

asymptotic stabilitysemilinear parabolic equationsThompson metric

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Linear operators on ordered spaces (47B60) Nonlinear evolution equations (47J35)

Cites Work

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• The equivalence of certain heat kernel and Green function bounds
• Composite structure of global unbounded solutions of nonlinear heat equations with critical Sobolev exponents
• A Cauchy problem for $u_t - \Delta u = u^p \ \hbox{with}\ 0 < p < 1$. Asymptotic behaviour of solutions
• On Certain Contraction Mappings in a Partially Ordered Vector Space

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