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- Title
STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE.
- Authors
FORLANO, JUSTIN; OH, TADAHIRO; WANG, YUZHAO
- Abstract
We study the stochastic cubic nonlinear Schrödinger equation (SNLS) with an additive noise on the one-dimensional torus. In particular, we prove local well-posedness of the (renormalized) SNLS when the noise is almost space–time white noise. We also discuss a notion of criticality in this stochastic context, comparing the situation with the stochastic cubic heat equation (also known as the stochastic quantization equation).
- Subjects
NONLINEAR Schrodinger equation; WHITE noise; SCHRODINGER equation; HEAT equation; CUBIC equations; RENORMALIZATION (Physics); QUANTIZATION (Physics)
- Publication
Journal of the Australian Mathematical Society, 2020, Vol 109, Issue 1, p44
- ISSN
1446-7887
- Publication type
Article
- DOI
10.1017/S1446788719000156