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Nonexistence of Solutions of Some Non-Linear Non-Local Evolution Systems on the Heisenberg Group
Journal article   Peer reviewed

Nonexistence of Solutions of Some Non-Linear Non-Local Evolution Systems on the Heisenberg Group

Mahmoud Boutefnouchet and Mokhtar Kirane
Fractional calculus & applied analysis, Vol.18(6), pp.1336-1349
01/12/2015
DOI: https://doi.org/10.1515/fca-2015-0077

Abstract

blowing-up solutions nonlinear hyperbolic systems nonlinear parabolic systems nonlocal operators on the Heisenberg group
We present non-existence results for systems of non-local in space hyperbolic equations, for systems of non-local in space parabolic equations, and for systems of non-local in space hyperbolic equations with linear damping terms. Our method of proof is based on the test function method with a help of a convexity inequality recently proved in [2].

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