Global and non Global Solutions for Some Fractional Heat Equations With Pure Power Nonlinearity
Canadian journal of mathematics, Tome 69 (2017) no. 4, pp. 854-872

Voir la notice de l'article provenant de la source Cambridge University Press

The initial value problem for a semi-linear fractional heat equation is investigated. In the focusing case, global well-posedness and exponential decay are obtained. In the focusing sign, global and non global existence of solutions are discussed via the potential well method.
DOI : 10.4153/CJM-2016-012-9
Mots-clés : 35Q55, nonlinear fractional heat equation, global Existence, decay, blow-up
Saanouni, Tarek. Global and non Global Solutions for Some Fractional Heat Equations With Pure Power Nonlinearity. Canadian journal of mathematics, Tome 69 (2017) no. 4, pp. 854-872. doi: 10.4153/CJM-2016-012-9
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