Differential and Integral Equations
- Differential Integral Equations
- Volume 27, Number 5/6 (2014), 563-578.
Non-accessible singular homoclinic orbits for a semilinear parabolic equation
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.
Differential Integral Equations, Volume 27, Number 5/6 (2014), 563-578.
First available in Project Euclid: 3 April 2014
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Fila, Marek; Yanagida, Eiji. Non-accessible singular homoclinic orbits for a semilinear parabolic equation. Differential Integral Equations 27 (2014), no. 5/6, 563--578. https://projecteuclid.org/euclid.die/1396558097