On a decay property of solutions to the Haraux-Weissler equation

DOI10.1016/j.jde.2005.02.014zbMath1357.35130OpenAlexW2075223717MaRDI QIDQ818433

Tohru Ozawa, Reika Fukuizumi

Publication date: 20 March 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.02.014

zbMATH Keywords

decay estimatesweighted estimatesHaraux-Weissler equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

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Cites Work

• Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations
• Remarks on the large time behaviour of a nonlinear diffusion equation
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• Radial symmetry of self-similar solutions for semilinear heat equations
• Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation
• On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\)
• Non-uniqueness of solutions to the Cauchy problem for semilinear heat equations with singular initial data
• Uniqueness of rapidly decaying solutions to the Haraux-Weissler equation
• Exponential decay of solutions to nonlinear elliptic equations with potentials
• Variational problems related to self-similar solutions of the heat equation
• Structure of positive radial solutions to the Haraux-Weissler equation
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