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On energy stability for the coupled nonlinear wave and Schrödinger systems

Authors :
Li Ma
Haihong Liu
Source :
Nonlinear Analysis: Theory, Methods & Applications. 72:4541-4550
Publication Year :
2010
Publisher :
Elsevier BV, 2010.

Abstract

In this paper, we show that regular solutions to the coupled nonlinear wave and Schrodinger systems with coercive polynomial nonlinearities are unique among distributional solutions enjoying the energy inequality. The arguments also yield the stabilities of classical solutions of the evolution systems in the energy norm.

Details

ISSN :
0362546X
Volume :
72
Database :
OpenAIRE
Journal :
Nonlinear Analysis: Theory, Methods & Applications
Accession number :
edsair.doi...........37f2b65a8f03e1dc78672cdce820fa16
Full Text :
https://doi.org/10.1016/j.na.2010.02.032