Short time behavior near the boundary for the heat equation with a nonlinear boundary condition

DOI10.1016/S0362-546X(01)00746-5zbMath1004.35072OpenAlexW2044435928MaRDI QIDQ1612565

Julio D. Rossi, Manuel Elgueta, Carmen Cortázar

Publication date: 25 August 2002

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/s0362-546x(01)00746-5

zbMATH Keywords

heat equationprincipal curvatures

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• Unnamed Item
• Parabolic evolution equations and nonlinear boundary conditions
• Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
• On the short-time behaviour of the free boundary of a porous medium equation
• Small time boundary behavior of solutions of parabolic equations with noncompatible data
• Estimations optimales en temps petit et près de la frontière pour les solutions de l'équation de la chaleur avec données non compatibles

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