Skip to main content
Article thumbnail
Location of Repository

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

By André De Laire

Abstract

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
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://hal.archives-ouvertes.... (external link)
  • https://hal.archives-ouvertes.... (external link)
  • https://hal.archives-ouvertes.... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.