On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range

DOI10.1016/S1631-073X(02)02567-0zbMath1020.35029OpenAlexW2017353585MaRDI QIDQ1851443

Victor A. Galaktionov, Vladimir Kondratiev, Pohozaev, Stanislav I., Youri V. Egorov

Publication date: 16 June 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02567-0

zbMATH Keywords

large time behaviournonnegative initial mass

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Initial value problems for higher-order parabolic equations (35K30)

Related Items (12)

Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay ⋮ Vladimir Alexandrovich Kondratiev. July 2, 1935--March 11, 2010 ⋮ Vladimir Aleksandrovich Kondrat'ev ⋮ Inhomogeneous nonlinear high-order evolution equations ⋮ Critical and supercritical higher order parabolic problems in \(\mathbb R^N\) ⋮ On the behavior at infinity of solutions of elliptic systems with a finite energy integral ⋮ Complicated asymptotic behavior of solutions for the fourth-order parabolic equation with absorption ⋮ Stanislav Ivanovich Pokhozhaev (a tribute in honor of his seventieth birthday) ⋮ On higher-order semilinear parabolic equations with measures as initial data ⋮ Homotopy regularization for a high-order parabolic equation ⋮ Asymptotically self-similar global solutions for a complex-valued quadratic heat equation with a generalized kernel ⋮ Asymptotics for a nonlinear integral equation with a generalized heat kernel

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