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

Published online by Cambridge University Press:  20 November 2018

Tarek Saanouni
Tarek Saanouni*
Affiliation:
University of Tunis El Manar, Faculty of Science of Tunis, LR03ES04 partial differential equations and applications, 2092 Tunis, Tunisia e-mail: Tarek.saanouni@ipeiem.rnu.tn
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Abstract

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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

35Q55nonlinear fractional heat equationglobal Existencedecayblow-up
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 69 , Issue 4 , 01 August 2017 , pp. 854 - 872
Copyright
Copyright © Canadian Mathematical Society 2017

References

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