The problem of uniqueness of the limit in a semilinear heat equation

DOI10.1080/03605309908821497zbMath0940.35107OpenAlexW1965214706MaRDI QIDQ4719939

Carmen Cortázar, Manuel Elgueta, Manuel A. del Pino

Publication date: 10 July 2000

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821497

zbMATH Keywords

compactly supported nonnegative nontrivial initial condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

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Cites Work

• Unnamed Item
• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Refined asymptotics for constant scalar curvature metrics with isolated singularities
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• Solutions globales d'equations de la chaleur semi lineaires.
• Uniqueness of the ground state solutions of △u+f(u)=0 in Rⁿ, n≥3

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