Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term
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Publication:4935384
DOI10.1017/S0308210500019399zbMath0939.35089MaRDI QIDQ4935384
Seifeddine Snoussi, Fred B. Weissler, Slim Tayachi
Publication date: 26 June 2000
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Related Items (21)
Blow up of positive solutions for a family of nonlinear parabolic equations in general domain in \(\mathbb{R}^N\) ⋮ ASYMPTOTICALLY SELF-SIMILAR GLOBAL SOLUTIONS OF A DAMPED WAVE EQUATION ⋮ Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms ⋮ Critical exponents for the \(p\)-Laplace heat equations with combined nonlinearities ⋮ 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. ⋮ Different asymptotic behavior of global solutions for a parabolic system with nonlinear gradient terms ⋮ Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term ⋮ Remarks on the Cauchy problem for the one-dimensional quadratic (fractional) heat equation ⋮ On a finite difference scheme for blow up solutions for the Chipot-Weissler equation ⋮ Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations ⋮ Asymptotic behavior of solutions for a free boundary problem with a nonlinear gradient absorption ⋮ Asymptotically self-similar global solutions for a higher-order semilinear parabolic equation ⋮ ASYMPTOTIC SELF-SIMILAR BEHAVIOR OF SOLUTIONS FOR A SEMILINEAR PARABOLIC SYSTEM ⋮ Blowup stability of solutions of the nonlinear heat equation with a large life span ⋮ Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity ⋮ Existence and nonexistence of solutions for the heat equation with a superlinear source term ⋮ Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems ⋮ Asymptotically self-similar global solutions for Hardy-Hénon parabolic systems ⋮ On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms ⋮ Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in \(\mathbb R^2\)
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