Convergence to a singular steady state of a parabolic equation with gradient blow-up

DOI10.1016/j.aml.2006.07.004zbMath1125.35367OpenAlexW2041902610MaRDI QIDQ2455440

Jari Taskinen, Michael Winkler, Marek Fila

Publication date: 24 October 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.07.004

zbMATH Keywords

rate of convergenceSemilinear parabolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items

Analysis of the loss of boundary conditions for the diffusive Hamilton-Jacobi equation, Continuation beyond interior gradient blow-up in a semilinear parabolic equation, Asymptotic behavior of global solutions to a class of heat equations with gradient nonlinearity, Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations, Gradient blowup behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity, Global existence and gradient blowup of solutions for a semilinear parabolic equation with exponential source, Blow-up rate estimates for a parabolic system with multiple nonlinearities, Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws, Rate estimates of gradient blowup for a heat equation with exponential nonlinearity, Gradient blowup rate for a heat equation with general gradient nonlinearity

Cites Work

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• Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem
• Derivative blow-up and beyond for quasilinear parabolic equations