A concrete realization of the slow-fast alternative for a semilinear heat equation with homogeneous Neumann boundary conditions

We investigate the asymptotic behavior of solutions to a semilinear heat equation with homogeneous Neumann boundary conditions. It was recently shown that the nontrivial kernel of the linear part leads to the coexistence of fast solutions decaying to 0 exponentially (as time goes to infinity), and s...

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Bibliographic Details
Main Authors: Ghisi Marina, Gobbino Massimo, Haraux Alain
Format: Article
Language:English
Published: De Gruyter 2018-08-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2016-0171