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Vectorial approach to coupled non linear Schrödinger systems under non local Cauchy conditions

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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https://hal.inria.fr/hal-01284253
Contributor : Renata Bunoiu <>
Submitted on : Monday, March 7, 2016 - 2:18:19 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM

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Renata Bunoiu, Radu Precup. Vectorial approach to coupled non linear Schrödinger systems under non local Cauchy conditions. Applicable Analysis, Taylor & Francis, 2016, 95 (4), pp.731-747. ⟨10.1080/00036811.2015.1028921⟩. ⟨hal-01284253⟩

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