Universality in blow-up for nonlinear heat equations
- 1 March 1994
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 7 (2) , 539-575
- https://doi.org/10.1088/0951-7715/7/2/011
Abstract
We consider the classical problem of the blowing-up of solutions of the nonlinear heat equation. We show that there exist infinitely many profiles around the blow-up point, and for each integer k, we construct a set of codimension 2k in the space of initial data giving rise to solutions that blow-up according to the given profile.Keywords
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