Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms

DOI10.1016/j.na.2009.11.020zbMath1184.35103OpenAlexW2003875007MaRDI QIDQ847326

Qingshan Zhang, Pei-hu Shi

Publication date: 12 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.020

zbMATH Keywords

small initial dataasymptotically self-similar solution

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06)

Related Items (7)

On a doubly degenerate parabolic equation with a nonlinear damping term ⋮ The global solution of a diffusion equation with nonlinear gradient term ⋮ Global existence and asymptotic properties of the solution to a two-species chemotaxis system ⋮ On the non-Newtonian fluid equation with a source term and a damping term ⋮ The uniqueness of the solution to the diffusion equation with a damping term ⋮ Existence results to a class of nonlinear parabolic systems involving potential and gradient terms ⋮ The viscosity solutions of a nonlinear equation related to the \(p\)-Laplacian

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