Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with arbitrary functionals

DOI10.1016/0022-247X(91)90409-SzbMath0737.35135MaRDI QIDQ1176901

Ludwik Byszewski

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

maximum principlenonlocal parabolic inequalities

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Partial functional-differential equations (35R10)

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Cites Work

• Unnamed Item
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• Reaction-diffusion systems and vector Lyapunov functions
• Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with integrals
• Das Maximumsprinzip in unbeschränkten Gebieten für parabolische Ungleichungen mit Funktionalen
• Strong Maximum and Minimum Principles for Parabolic Problems with Non-local Inequalities
• On the strong maximum principle for parabolic differential equations
• Strong maximum principle for non-linear parabolic differential-functional inequalities
• On non-local problems for parabolic equations