Display Abstract

Title Accessibility of singular homoclinic orbits for a semilinear parabolic equation

Name Eiji Yanagida
Country Japan
Email yanagida@math.titech.ac.jp
Co-Author(s) Marek Fila
Submit Time 2014-02-27 20:26:52
Special Session 12: Complexity in reaction-diffusion systems
We show the existence of at least three different continuations beyond blow-up for a backward self-similar solution of a supercritical Fujita equation. One of these extended solutions cannot be approximated by classical entire solutions in a specific way given by the scaling invariance of the equation, while the minimal continuation is known to be accessible by a family of such entire solutions.