Consider the semilinear heat equation (see (1.1)) with reaction term u^p, p>1. We construct solutions that blow up at a finite time T, according to a variety of specific asymptotic behaviors. These blow-up patterns are unstable. The corresponding solutions have an arbitrary large number of local maxima, collapsing for t=T.
Unstable blow-up patterns
AMADORI, DEBORA
1995-01-01
Abstract
Consider the semilinear heat equation (see (1.1)) with reaction term u^p, p>1. We construct solutions that blow up at a finite time T, according to a variety of specific asymptotic behaviors. These blow-up patterns are unstable. The corresponding solutions have an arbitrary large number of local maxima, collapsing for t=T.File in questo prodotto:
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