WELL-POSEDNESS ISSUES FOR A CLASS OF COUPLED NONLINEAR SCHRODINGER EQUATIONS WITH CRITICAL EXPONENTIAL GROWTH

Hanen Hezzi

doi:10.15352/aot.1709-1227

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WELL-POSEDNESS ISSUES FOR A CLASS OF COUPLED NONLINEAR SCHRODINGER EQUATIONS WITH CRITICAL EXPONENTIAL GROWTH

Journal article

Peer reviewed

WELL-POSEDNESS ISSUES FOR A CLASS OF COUPLED NONLINEAR SCHRODINGER EQUATIONS WITH CRITICAL EXPONENTIAL GROWTH

Hanen Hezzi

Advances in operator theory, Vol.3(3), pp.551-581

01/06/2018

DOI: https://doi.org/10.15352/aot.1709-1227

Abstract

Mathematics

Physical Sciences

Science & Technology

The initial value problem for some coupled nonlinear Schrodinger equations in two space dimensions with exponential growth is investigated. In the defocusing case, global well-posedness and scattering are obtained. In the focusing sign, global and nonglobal existence of solutions are discussed via potential well-method.

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Title: WELL-POSEDNESS ISSUES FOR A CLASS OF COUPLED NONLINEAR SCHRODINGER EQUATIONS WITH CRITICAL EXPONENTIAL GROWTH
Creators - without role: Hanen Hezzi - Univ Tunis El Manar, Fac Sci Tunis, Partial Differential Equat & Applicat LR03ES04, Tunis 2092, Tunisia
Publication Details: Advances in operator theory, Vol.3(3), pp.551-581
Publisher: Tusi Mathematical Research Group
Number of pages: 31
Identifiers: 9928630608331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article