Renormalization of a 1d quadratic Schrödinger model with additive noise
Abstract
The study is devoted to the interpretation and well-posedness of the stochastic NLS model (ı∂t−Δ)u=|u|2+B˙,u0=0,t∈R,x∈T, where B˙ stands for a space-time fractional noise with index H=(H0,H1) in a subset of (0,1)2. We first establish that in the situation where 0
Fields of Study & Subjects
Stochastic processes and financial applications
Complex Systems and Time Series Analysis
Theoretical and Computational Physics
Publication details
- Journal / source
- The Annals of Probability
- Volume
- 54
- Issue
- 5
- Pages
- 2508–2567
- Publication date
- 28 August 2026
- Language
- EN