Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations - Archive ouverte HAL
Article Dans Une Revue Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Année : 2016

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

Hatem Zaag
Laboratoire Analyse, Géométrie et Applications
van Tien Nguyen
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  • PersonId : 1056566

Résumé

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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Equations aux dérivées partielles [math.AP]

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https://hal.science/hal-02325227

Soumis le : mardi 22 octobre 2019-11:04:55

Dernière modification le : jeudi 28 novembre 2024-10:49:50

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Dates et versions

hal-02325227 , version 1 (22-10-2019)

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Hatem Zaag, van Tien Nguyen. Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2016, ⟨10.2422/2036-2145.201412_001⟩. ⟨hal-02325227⟩

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