Some properties for blowup parabolic equations and their application

DOI10.1016/j.matpur.2013.06.001zbMath1282.35093OpenAlexW1991426090MaRDI QIDQ395264

Gengsheng Wang, Ping Lin

Publication date: 29 January 2014

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2013.06.001

zbMATH Keywords

blowup time optimal controlsuniform estimate of blowup rates

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence theories for optimal control problems involving partial differential equations (49J20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) PDEs in connection with control and optimization (35Q93)

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Cites Work

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• Blow-up theories for semilinear parabolic equations
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Analysis and control of nonlinear infinite dimensional systems
• Blowup Time Optimal Control for Ordinary Differential Equations
• On blow-up rate for sign-changing solutions in a convex domain
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• On Nonexistence of type II blowup for a supercritical nonlinear heat equation

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