Global well-posedness of some high-order semilinear wave and Schrödinger type equations with exponential nonlinearity

Tarek Saanouni

doi:10.3934/cpaa.2014.13.273

Article Contents

2014, Volume 13, Issue 1: 273-291. Doi: 10.3934/cpaa.2014.13.273

This issue Previous Article Homogenization and correctors for the hyperbolic problems with imperfect interfaces via the periodic unfolding method Next Article Stable weak solutions of weighted nonlinear elliptic equations

Global well-posedness of some high-order semilinear wave and Schrödinger type equations with exponential nonlinearity

Tarek Saanouni^1,

1.
University Tunis El Manar, Faculty of Sciences of Tunis, Department of Mathematics, 2092, Tunis

Received: November 30, 2012

Revised: April 30, 2013

Published: December 2013

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Abstract

Extending previous works [47, 27, 30], we consider in even space dimensions the initial value problems for some high-order semi-linear wave and Schrödinger type equations with exponential nonlinearity. We obtain global well-posedness in the energy space.

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Mathematics Subject Classification: Primary: 35Q55; Secondary: 35B30.

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