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Global and non Global Solutions for Some Fractional Heat Equations With Pure Power Nonlinearity
Journal article   Peer reviewed

Global and non Global Solutions for Some Fractional Heat Equations With Pure Power Nonlinearity

Tarek Saanouni
Canadian journal of mathematics, Vol.69(4), pp.854-872
01/08/2017
DOI: https://doi.org/10.4153/CJM-2016-012-9

Abstract

Mathematics Physical Sciences Science & Technology
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.

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