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

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Abstract

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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Authors and Affiliations

  1. College of Arts and Sciences, Dept. of Mathematics, P.O. Box 2713, Doha, Qatar

    Mokhtar Kirane

  2. Pôle Sciences et Technologies Avenue Michel Céepeau, Université de La Rochelle Laboratoire de Matématiques MIA, 17042, La Rochelle Cedex 1, France

    Mokhtar Kirane

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  1. Mokhtar Kirane
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Kirane, M. Nonexistence of Solutions of Some Non-Linear Non-Local Evolution Systems on the Heisenberg Group. FCAA 18, 1336–1349 (2015). https://doi.org/10.1515/fca-2015-0077

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