Stochastic Logarithmic Schrödinger Equations: Energy Regularized Approach
Jianbo Cui, Liying Sun
Source abstract
Abstract. In this paper, we prove the global existence and uniqueness of the solution of the stochastic logarithmic Schrödinger (SlogS) equation driven by either additive noise or multiplicative noise. The key ingredient lies in the regularized SlogS (RSlogS) equation with regularized energy and the strong convergence analysis of the solutions of the RSlogS equations. In addition, temporal Hölder regularity estimates and uniform estimates in energy space [Formula: see text] and weighted Sobolev space [Formula: see text] of the solutions for both the SlogS equation and RSlogS equation are also obtained.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.