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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 4
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Articles

Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions

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Pages 731-747 | Received 05 Jan 2015, Accepted 10 Mar 2015, Published online: 30 Mar 2015
 

Abstract

The paper presents a vectorial approach for coupled general nonlinear Schrödinger systems with nonlocal Cauchy conditions. Based on fixed-point principles, the use of matrices with spectral radius less than one, and on basic properties of the Schrödinger solution operator, several existence results are obtained. The essential role of the support of the nonlocal Cauchy condition is emphasized and fully exploited.

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Dislosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Both authors acknowledge the support from the French grant ANR-12-MONU-0007-02 BECASIM. The second author was also partially supported by a grant of the Romanian National Authority for Scientific Research, CNCS – UEFISCDI, project number PN-II-ID-PCE-2011-3-0094.

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