Long-time vanishing properties of solutions of some semilinear parabolic equations

DOI10.1016/S0294-1449(00)00121-9zbMath0983.35066OpenAlexW2072276602MaRDI QIDQ5929648

Laurent Véron, Yves Belaud, Bernard Helffer

Publication date: 26 July 2001

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2001__18_1_43_0

zbMATH Keywords

Schrödinger operatorsquasilinear parabolic equationsquenchingsemi-classical analysisvanishing of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (12)

An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter ⋮ Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations ⋮ Self-similar extinction for a diffusive Hamilton-Jacobi equation with critical absorption ⋮ Extinction of solutions for some nonlinear parabolic equations ⋮ Extinction of solutions of higher order parabolic equations with double nonlinearity and degenerate absorption potential ⋮ On the Łojasiewicz--Simon gradient inequality. ⋮ Extinction of solutions of semilinear higher order parabolic equations with degenerate absorption potential ⋮ On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems ⋮ Decay of the solutions of parabolic equations with double nonlinearity and the degenerate absorption potential ⋮ Magnetic bottles in connection with superconductivity ⋮ A conservation law with spatially localized sublinear damping ⋮ Extinction in a finite time for solutions of a class of quasilinear parabolic equations

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