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

  Published:2016-06-21
 Printed: Aug 2017
  • Tarek Saanouni,
    University of Tunis El Manar, Faculty of Science of Tunis, LR03ES04 partial differential Equations and applications, 2092 Tunis, Tunisia
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Abstract

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.
Keywords: nonlinear fractional heat equation, global Existence, decay, blow-up nonlinear fractional heat equation, global Existence, decay, blow-up
MSC Classifications: 35Q55 show english descriptions NLS-like equations (nonlinear Schrodinger) [See also 37K10] 35Q55 - NLS-like equations (nonlinear Schrodinger) [See also 37K10]
 

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