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arXiv · 1406.5233

Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations

Van Tien Nguyen·Hatem Zaag
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Abstract

We construct a solution for a class of strongly perturbed semilinear heat equations which blows up in finite time with a prescribed blow-up profile. The construction relies on the reduction of the problem to a finite dimensional one and the use of index theory to conclude.

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Van Tien Nguyen, Hatem Zaag. 2014-06-19. Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations. https://doi.org/10.2140/10.2422/2036-2145.201412

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