Critical exponent for the bipolar blowup in a semilinear parabolic equation

DOI10.1006/jmaa.1997.5815zbMath0914.35064OpenAlexW2027307580MaRDI QIDQ1381599

Hirokazu Ninomiya, Noriko Mizoguchi, Eiji Yanagida

Publication date: 21 June 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5815

zbMATH Keywords

semilinear parabolic equationsmall initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (7)

Large time behavior of solutions of the heat equation with inverse square potential ⋮ Large time behaviors of hot spots for the heat equation with a potential ⋮ Growup of solutions for a semilinear heat equation with supercritical nonlinearity ⋮ Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition ⋮ Critical exponents for the blowup of solutions with sign changes in a semilinear parabolic equation. II ⋮ Blow-up of sign-changing solutions for a one-dimensional nonlinear diffusion equation ⋮ \(L^p\) norms of nonnegative Schrödinger heat semigroup and the large time behavior of hot spots

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• The Role of Critical Exponents in Blowup Theorems
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