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Nonexistence of global solutions for a class of two-time nonlinear evolution equations
Journal article   Open access  Peer reviewed

Nonexistence of global solutions for a class of two-time nonlinear evolution equations

Mohamed Jleli, Mokhtar Kirane and Bessem Samet
Computers & mathematics with applications (1987), Vol.68(12), pp.2028-2035
12/2014
DOI: https://doi.org/10.1016/j.camwa.2014.09.017

Abstract

Fractional Laplacian Global solution Porous media Ultraparabolic equations
Nonexistence results of global solutions for a class of ultraparabolic equations and systems involving the fractional Laplacian operator are derived. The proofs are based on the choice of a suitable test function in the weak formulation of the considered problems. The considered equations and systems have their applications in diffusion theory in porous media.
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https://doi.org/10.1016/j.camwa.2014.09.017View
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