Asymptotic behavior of singular solutions for a semilinear parabolic equation

DOI10.3934/dcds.2012.32.4027zbMath1248.35022OpenAlexW2332236881MaRDI QIDQ447955

Shota Sato, Eiji Yanagida

Publication date: 30 August 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.4027

zbMATH Keywords

power nonlinearitysingular solutionconvergence to a steady state

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51)

Related Items (8)

Convergence rate to singular steady states in a semilinear parabolic equation ⋮ Ordering properties of radial ground states and singular ground states of quasilinear elliptic equations ⋮ Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials ⋮ Lack of smoothing for bounded solutions of a semilinear parabolic equation ⋮ Singularities of certain finite energy solutions to the Navier-Stokes system ⋮ Singular Solutions of the Scalar Field Equation with a Critical Exponent ⋮ Sign-changing solutions of the nonlinear heat equation with persistent singularities ⋮ Time-dependent singularities in the Navier-Stokes system

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