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GLOBAL WELL-POSEDNESS OF SOME HIGH-ORDER SEMILINEAR WAVE AND SCHRODINGER TYPE EQUATIONS WITH EXPONENTIAL NONLINEARITY
Journal article   Peer reviewed

GLOBAL WELL-POSEDNESS OF SOME HIGH-ORDER SEMILINEAR WAVE AND SCHRODINGER TYPE EQUATIONS WITH EXPONENTIAL NONLINEARITY

Tarek Saanouni and University Tunis El Manar, Faculty of Sciences of Tunis, Department of Mathematics, 2092, Tunis
Communications on pure and applied analysis, Vol.13(1), pp.273-291
01/01/2014
DOI: https://doi.org/10.3934/cpaa.2014.13.273

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Extending previous works [47, 29, 30], we consider in even space dimensions the initial value problems for some high-order semi-linear wave and Schrodinger type equations with exponential nonlinearity. We obtain global well-posedness in the energy space.

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