Connecting equilibria by blow-up solutions.

DOI10.3934/DCDS.2000.6.155zbMath1157.35404OpenAlexW2014518540MaRDI QIDQ1576889

Hiroshi Matano, Marek Fila

Publication date: 16 August 2000

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2000.6.155

zbMATH Keywords

semilinear parabolic equationblowupnonlinear heat equationconnecting orbitszero number

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (4)

Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation ⋮ Homoclinic and heteroclinic orbits for a semilinear parabolic equation ⋮ On the existence of small solutions of linear systems of difference equations with varying coefficients ⋮ A dynamical system for a nonlocal parabolic equation with exponential nonlinearity

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