An inductive approach to stochastic estimates for the $φ^{4}_2$-equation with correlated coefficient field
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909814362210304 |
|---|---|
| author | Clozeau, Nicolas |
| author_facet | Clozeau, Nicolas |
| contents | We develop an inductive approach to obtaining stochastic estimates for the $φ^{4}_2$-equation when the coefficient field is correlated with the driving noise. Our method is based on (infinite-dimensional) Gaussian integration by parts with respect to Wick products of Gaussian random variables (more precisely, mollifications of space-time white noise) |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11309 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An inductive approach to stochastic estimates for the $φ^{4}_2$-equation with correlated coefficient field Clozeau, Nicolas Analysis of PDEs Probability We develop an inductive approach to obtaining stochastic estimates for the $φ^{4}_2$-equation when the coefficient field is correlated with the driving noise. Our method is based on (infinite-dimensional) Gaussian integration by parts with respect to Wick products of Gaussian random variables (more precisely, mollifications of space-time white noise) |
| title | An inductive approach to stochastic estimates for the $φ^{4}_2$-equation with correlated coefficient field |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2509.11309 |