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Abstract / Description of output
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).
Original language | English |
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Pages (from-to) | 44 - 67 |
Number of pages | 24 |
Journal | Journal of the australian mathematical society |
Volume | 109 |
Issue number | 1 |
Early online date | 21 Jun 2019 |
DOIs | |
Publication status | Published - 31 Aug 2020 |
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Dive into the research topics of 'Stochastic nonlinear Schrödinger equation with almost space-time white noise'. Together they form a unique fingerprint.Projects
- 1 Finished
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ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations
1/03/15 → 29/02/20
Project: Research