Semilinear parabolic equation in \(R^N\) associated with critical Sobolev exponent

DOI10.1016/j.anihpc.2010.01.002zbMath1192.35099OpenAlexW2033323982MaRDI QIDQ975294

Ryo Ikehata, Michinori Ishiwata, Takashi Suzuki

Publication date: 9 June 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2010.01.002

zbMATH Keywords

self-similaritydecay and blow-upself-similar transformationstable and unstable sets

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (6)

Positive solution to semilinear parabolic equation associated with critical Sobolev exponent ⋮ Global existence and blow up for a class of pseudo-parabolic equations with logarithmic nonlinearity ⋮ A Potential Well Argument for a Semilinear Parabolic Equation with Exponential Nonlinearity ⋮ Finite time blow-up for a class of parabolic or pseudo-parabolic equations ⋮ Asymptotics for a parabolic equation with critical exponential nonlinearity ⋮ The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values

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