2 papers
math.PR2025
A quadratic BSDE approach to normalization for the finite volume 2D sine-Gordon model in the finite ultraviolet regime
Shanjian Tang, Rundong Xu
This paper is devoted to a new construction of the two-dimensional sine-Gordon model on bounded domains by a novel normalization technique in the finite ultraviolet regime. Our met…
math.PR2024
Mild Solution of Semilinear Rough Stochastic Evolution Equations
Jiahao Liang, Shanjian Tang
In this paper, we investigate a semilinear stochastic parabolic equation with a linear rough term $du_{t}=\left[L_{t}u_{t}+f\left(t, u_{t}\right)\right]dt+\left(G_{t}u_{t}+g_{t}\ri…