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STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE.
- Source :
-
Journal of the Australian Mathematical Society . Aug2020, Vol. 109 Issue 1, p44-67. 24p. - Publication Year :
- 2020
-
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). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14467887
- Volume :
- 109
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 144403170
- Full Text :
- https://doi.org/10.1017/S1446788719000156