The dead core for reaction-diffusion equations with convection and its connection with the first exit time of the related Markov diffusion process

DOI10.1016/0362-546X(88)90043-0zbMath0654.35038MaRDI QIDQ3800429

Ross G. Pinsky

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

maximum principleasymptotic behaviorupper and lower boundsdead corereaction-diffusion equationsstochastic approachfirst exit timeHölder continuousMarkov diffusion processsubsolution techniquesconvection vector field

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Reaction-diffusion equations (35K57) Diffusion processes (60J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

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