On the growth of mass for a viscous Hamilton-Jacobi equation

DOI10.1007/BF02893088zbMath1031.35054MaRDI QIDQ1411304

Philippe Souplet, Philippe Laurençot

Publication date: 27 October 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

positive solutionslarge time behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15)

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The Cauchy problem for a parabolic \(p\)-Laplacian equation with combined nonlinearities, Critical exponents for the \(p\)-Laplace heat equations with combined nonlinearities, Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains, The Cauchy problem for \(u_{t}=\Delta u+| \nabla u|^q\), Hamilton-Jacobi and fractional like action with time scaling, Global solutions for a nonlinear integral equation with a generalized heat kernel, Asymptotic profiles of solutions to convection-diffusion equations., Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equation in domains with non-constant curvature, Global solutions of inhomogeneous Hamilton-Jacobi equations, Decay of mass for fractional evolution equation with memory term, Asymptotic profiles of solutions to viscous Hamilton--Jacobi equations, Decay and growth for a nonlinear parabolic difference equation, Decay of mass for nonlinear equation with fractional Laplacian, Fractal Hamilton-Jacobi-KPZ equations, Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities, Non-Diffusive Large Time Behavior for a Degenerate Viscous Hamilton–Jacobi Equation, Convergence to steady states in a viscous Hamilton-Jacobi equation with degenerate diffusion, The Cauchy problem for \(u_t=\Delta u+ |\nabla u|^q\), large-time behaviour, The Decay of mass for a nonlinear fractional reaction–diffusion equation

Cites Work

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