Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations

DOI10.1017/S0308210500010428zbMath0406.35038MaRDI QIDQ4192418

Herbert Amann

Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Semi-Linear Parabolic SystemsBiot NumbersDiffusion Reaction EquationsExistence and Stability of SolutionsGlobally Asymptotically Stable StatesLewis NumberThiele Number

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) General theory of partial differential operators (47F05)

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Cites Work

• Existence and multiplicity theorems for semi-linear elliptic boundary value problems
• Halbgruppen und semilineare Anfangs-Randwertprobleme
• Equations of parabolic type in a Banach space
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