Forward self-similar solutions of a semilinear parabolic equation with a nonlinear gradient term

zbMath0852.35064MaRDI QIDQ1916340

Slim Tayachi

Publication date: 30 October 1996

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

self-similar solutionscritical exponentsingular initial data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items (5)

Blow up of positive solutions for a family of nonlinear parabolic equations in general domain in \(\mathbb{R}^N\) ⋮ Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation ⋮ The local theory for viscous Hamilton--Jacobi equations in Lebesgue spaces. ⋮ Existence and nonexistence of solutions for the heat equation with a superlinear source term ⋮ Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in \(\mathbb R^2\)

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