2 papers
math.AP2025
Stochastic Perturbations in the Fractional Nonlinear Schrödinger Equation: Well-posedness and Blow-up
Ao Zhang, Yanjie Zhang, Jinqiao Duan
This work investigates radial solutions for nonlinear fractional Schrödinger equations driven by multiplicative noise. Leveraging radial deterministic and stochastic Strichartz es…
math.NA2024
The stochastic fractional nonlinear Schrödinger equations in and structure-preserving algorithm
Ao Zhang, Yanjie Zhang, Pengde Wang +2
In this paper, we first investigate the global existence of a solution for the stochastic fractional nonlinear Schrödinger equation with radially symmetric initial data in a suita…