Blow-up for sign-changing solutions of the critical heat equation in domains with a small hole

DOI10.1142/S0219199715500170zbMath1334.35168arXiv1405.2166MaRDI QIDQ5744331

Monica Musso, Angela Pistoia, Isabella Ianni

Publication date: 18 February 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2166

zbMATH Keywords

critical Sobolev exponentblow-up phenomenasemi-linear parabolic equationssign-changing stationary solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Blow-up in context of PDEs (35B44) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (3)

Sign-changing stationary solutions and blowup for the two power nonlinear heat equation in a ball ⋮ High initial energy finite time blowup with upper bound of blowup time of solution to semilinear parabolic equations ⋮ Blow-up of sign-changing solutions for a one-dimensional nonlinear diffusion equation

Cites Work

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• Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
• Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball
• Seminlinear parabolic equation on bounded domain with critical Sobolev exponent
• Blow up of solutions of semilinear heat equations in general domains

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