A SUFFICIENT CONDITION FOR SLOW DECAY OF A SOLUTION TO A SEMILINEAR PARABOLIC EQUATION

DOI10.1142/S0219530512500170zbMath1253.35016OpenAlexW2005722810MaRDI QIDQ3165319

Alain Haraux, Imen Ben Arbi

Publication date: 26 October 2012

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530512500170

zbMATH Keywords

Neumann boundary conditionsslow decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (3)

Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations ⋮ A concrete realization of the slow-fast alternative for a semilinear heat equation with homogeneous Neumann boundary conditions ⋮ A description of all possible decay rates for solutions of some semilinear parabolic equations

Cites Work

• Unnamed Item
• Decay rate of the range component of solutions to some semilinear evolution equations
• Rate of decay to equilibrium in some semilinear parabolic equations.
• Solutions faibles d'équations d'évolution dans les espaces de Hilbert. (Weak solution of evolution equations in Hilbert spaces)
• Slow and fast decay of solutions to some second order evolution equations
• Estimations C1 pour des problèmes paraboliques semi-linéaires

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