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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.…
Well-posedness of the Stochastic Landau--Lifshitz--Baryakhtar Equation in
Bin Liu, Fan Xu
This paper studies the Cauchy problem for the stochastic Landau--Lifshitz--Baryakhtar equation on , , subject to Stratonovich Gaussian perturbations. We esta…
Global well-posedness and scattering for energy-critical Schrodinger equations with conservative Marcus noise
Bin Liu, Fan Xu, Bo Yang +1
This work establishes global well-posedness for the three-dimensional defocusing energy-critical nonlinear Schrödinger equation with conservative linear Marcus noise. For arbitrary…
Global well-posedness and scattering for defocusing energy-critical inhomogeneous NLS in dimensions
Bo Yang, Lei Zhang, Bin Liu
We study the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation \[ i\partial_tu+Δu=|x|^{-b}|u|^{\frac{4-2b}{d-2}}u, \qquad (t,x)\in\R\times\R^d, \] with initia…