The self-similar profiles of generalized KPZ equation.

DOI10.2140/pjm.2001.201.223zbMath1063.35080OpenAlexW1977962511MaRDI QIDQ700615

Mingxin Wang, Yuan-wei Qi

Publication date: 22 October 2002

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2001.201.223

zbMATH Keywords

quasilinear parabolic equationvery singular solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (10)

Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms ⋮ Global solutions of the fast diffusion equation with gradient absorption terms ⋮ The Cauchy problem for \(u_{t}=\Delta u+| \nabla u|^q\) ⋮ \(L^\infty \) estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms ⋮ Large time behavior of solutions for the porous medium equation with a nonlinear gradient source ⋮ Self-similar singular solution of fast diffusion equation with gradient absorption terms ⋮ Asymptotic profiles of solutions to viscous Hamilton--Jacobi equations ⋮ Self-similar singular solution of doubly singular parabolic equation with gradient absorption term ⋮ The Cauchy problem for \(u_t=\Delta u+ |\nabla u|^q\), large-time behaviour ⋮ Waiting time phenomena for the porous medium equation with gradient absorption

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