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Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity

By André De Laire


Communications in Partial Differential Equations (2010)We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero boundary condition at infinity, in any dimension. We focus on even potentials that are positive definite or positive tempered distributions

Topics: Nonlocal Schrodinger equation, Gross-Pitaevskii equation, Global ell-posedness, Initial value problem, 35Q55; 35A05; 37K05; 35Q40; 81Q99, [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP]
Publisher: HAL CCSD
Year: 2010
OAI identifier: oai:HAL:hal-00593629v1
Provided by: Hal-Diderot
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