Blow-up in parabolic problems under Robin boundary conditions

DOI10.1080/00036810802189662zbMath1156.35408OpenAlexW2075461338MaRDI QIDQ3532645

Lawrence E. Payne, Philip W. Schaefer

Publication date: 28 October 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802189662

zbMATH Keywords

blow-upsemilinear heat equationparabolic problemsRobin conditiondifferential inequality techniquelower bound on blow-up time

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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Cites Work

• Unnamed Item
• Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
• Blowup in diffusion equations: A survey
• The problem of blow-up in nonlinear parabolic equations
• Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
• Bounds for blow-up time in nonlinear parabolic problems
• A Faber-Krahn inequality for Robin problems in any space dimension
• Lower Bounds for Vibration Frequencies of Elastically Supported Membranes and Plates

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