Capacity estimate for the blow-up set of parabolic equations

DOI10.1007/S00209-007-0252-YzbMath1176.35041OpenAlexW2086657068MaRDI QIDQ930502

Futoshi Takahashi, Takashi Suzuki

Publication date: 30 June 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0252-y

zbMATH Keywords

porous medium equationblow-up set\(p\)-capacity\(p\)-Laplace evolution equationpost blow-up continuation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degenerate parabolic equations
• On the asymptotic behavior of solutions of certain quasilinear parabolic equations
• Complete blow-up after \(T_{\max}\) for the solution of a semilinear heat equation
• Interior imperfect ignition cannot occur on a set of positive measure
• Mathematical problems from combustion theory
• Complete Blow-Up for a Semilinear Diffusion Equation with a Sufficiently Large Initial Condition
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions
• Nonexistence of solutions for a degenerate parabolic equation describing imperfect ignition

This page was built for publication: Capacity estimate for the blow-up set of parabolic equations