Global Well-Posedness of the 4-D Energy-Critical Stochastic Nonlinear Schrödinger Equations with Non-Vanishing Boundary Condition

Kelvin Cheung, Guopeng Li

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We consider the energy-critical stochastic cubic nonlinear Schrödinger equation on R4 with additive noise, and with the non-vanishing boundary conditions at spatial infinity. By viewing this equation as a perturbation to the energy-critical cubic nonlinear Schrödinger equation on R4, we prove global well-posedness in the energy space. Moreover, we establish unconditional uniqueness of solutions in the energy space.
Original languageEnglish
Pages (from-to)287-309
Number of pages23
JournalFunkcialaj Ekvacioj
Volume65
Issue number3
DOIs
Publication statusPublished - 15 Dec 2022

Keywords

  • Geometry and Topology
  • Algebra and Number Theory
  • Analysis

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