On the asymptotic behavior of unbounded radial solutions for semilinear parabolic problems involving critical Sobolev exponent

DOI10.1016/J.JDE.2010.06.024zbMath1204.35105OpenAlexW1979562818MaRDI QIDQ994301

Michinori Ishiwata

Publication date: 17 September 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.06.024

zbMATH Keywords

asymptotic behaviorradial solutionsblow-upsemilinear parabolic equationcritical Sobolev exponentunbounded global solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (4)

Positive solution to semilinear parabolic equation associated with critical Sobolev exponent ⋮ A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up ⋮ Semilinear parabolic equation in \(R^N\) associated with critical Sobolev exponent ⋮ Finite element method for radially symmetric solution of a multidimensional semilinear heat equation

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