Geodesic
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

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DOI

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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     author = {Saanouni, Tarek},
     title = {Global and non {Global} {Solutions} for {Some} {Fractional} {Heat} {Equations} {With} {Pure} {Power} {Nonlinearity}},
     journal = {Canadian journal of mathematics},
     pages = {854--872},
     year = {2017},
     volume = {69},
     number = {4},
     doi = {10.4153/CJM-2016-012-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-012-9/}
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