Existence of \(L^1\)-connections between equilibria of a semilinear parabolic equation

DOI10.1023/A:1016507330323zbMath1001.35054OpenAlexW88413211MaRDI QIDQ700796

Peter Poláčik, Hiroshi Matano, Marek Fila

Publication date: 8 October 2002

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

Full work available at URL: https://doi.org/10.1023/a:1016507330323

zbMATH Keywords

blow-upconnecting orbitscontinuation after blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Continuation and prolongation of solutions to PDEs (35B60)

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Entire and ancient solutions of a supercritical semilinear heat equation ⋮ Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation ⋮ NON WELL POSEDNESS OF PARABOLIC EQUATIONS WITH SUPERCRITICAL NONLINEARITIES ⋮ Homoclinic and heteroclinic orbits for a semilinear parabolic equation ⋮ A dynamical system for a nonlocal parabolic equation with exponential nonlinearity

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