Strichartz inequalities with white noise potential on compact surfaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866913261252771840 |
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| author | Mouzard, Antoine Zachhuber, Immanuel |
| author_facet | Mouzard, Antoine Zachhuber, Immanuel |
| contents | We prove Strichatz inequalities for the Schr{ö}dinger equation and the wave equation with multiplicative noise on a two-dimensional manifold. This relies on the Anderson Hamiltonian H described using high order paracontrolled calculus. As an application, it gives a low regularity solution theory for the associated nonlinear equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_07940 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Strichartz inequalities with white noise potential on compact surfaces Mouzard, Antoine Zachhuber, Immanuel Analysis of PDEs Mathematical Physics Probability Spectral Theory We prove Strichatz inequalities for the Schr{ö}dinger equation and the wave equation with multiplicative noise on a two-dimensional manifold. This relies on the Anderson Hamiltonian H described using high order paracontrolled calculus. As an application, it gives a low regularity solution theory for the associated nonlinear equations. |
| title | Strichartz inequalities with white noise potential on compact surfaces |
| topic | Analysis of PDEs Mathematical Physics Probability Spectral Theory |
| url | https://arxiv.org/abs/2104.07940 |