Almost Sure Global Well-posedness for the Fractional Cubic Schrödinger Equation on the Torus

DOI10.4153/CMB-2015-025-7zbMath1326.35336arXiv1404.5270OpenAlexW2963584004MaRDI QIDQ2950666

Seckin Demirbas

Publication date: 9 October 2015

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5270

zbMATH Keywords

fractional Schrödinger equationalmost sure global well-posednessNLScubic periodic fractional Schrödinger equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items (3)

Gibbs Measure Dynamics for the Fractional NLS ⋮ Refined probabilistic global well-posedness for the weakly dispersive NLS ⋮ Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations

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