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math.APOct 21, 2020
3
citations (OpenAlex)
authors
  • Chenjie Fan
  • Zehua Zhao
arXiv abstractPDF
paper

On long time behavior for stochastic nonlinear Schrödinger equations with a multiplicative noise

arXiv:2010.11045

Abstract

In this article, we study Stochastic mass critical nonlinear Schrödinger equations with a multiplicative noise in 3D with a slight time decay (⟨t⟩−ε), and prove associated space-time bound and scattering behavior.

arXiv comment22 pages. All comments are welcome

References in corpus (6)

  • Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schr{ö}dinger equation when d=2
  • Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two
  • Random tensors, propagation of randomness, and nonlinear dispersive equations
  • Stochastic nonlinear Schroedinger equations in the defocusing mass and energy critical cases
  • Global well-posedness for the mass-critical stochastic nonlinear Schrödinger equation on R: general L2 data
  • Decay of the stochastic linear Schrödinger equation in d≥3 with small multiplicative noise

Cited by in corpus (2)

  • Long time behavior of stochastic NLS with a small multiplicative noise
  • A Wong-Zakai theorem for the stochastic mass critical NLS
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