Fan Xu

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20242026

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math.AP2026

Global well-posedness of the energy-critical nonlinear Schrödinger equation on the three-dimensional torus with additive Lévy noise

Bin Liu, Fan Xu

This paper establishes global well-posedness for the defocusing energy-critical nonlinear Schrödinger equation on the three-dimensional torus with a class of additive Lévy noises.…

math.AP2026

Well-posedness of the Stochastic Landau--Lifshitz--Baryakhtar Equation in $R^{d}$

Bin Liu, Fan Xu

This paper studies the Cauchy problem for the stochastic Landau--Lifshitz--Baryakhtar equation on $R^{d}$ , $d = 1, 2, 3$ , subject to Stratonovich Gaussian perturbations. We esta…

Global well-posedness of the energy-critical nonlinear Schrödinger equation on the three-dimensional torus with additive Lévy noise

Well-posedness of the Stochastic Landau--Lifshitz--Baryakhtar Equation in Rd

Well-posedness of the Stochastic Landau--Lifshitz--Baryakhtar Equation in $R^{d}$