Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime
We obtain new semiclassical estimates for pseudodifferential operators with low regular symbols. Such symbols appear naturally in a Cauchy Problem related to recent weak solutions to the unstable Muskat problem constructed via convex integration. In particular, our new estimates reveal the tight rel...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/700684 |
| Acceso en línea: | http://hdl.handle.net/10486/700684 https://dx.doi.org/10.1080/03605302.2020.1831019 |
| Access Level: | acceso abierto |
| Palabra clave: | Muskat problem Pseudodifferential operators Semiclassical analysis Matemáticas |
| Sumario: | We obtain new semiclassical estimates for pseudodifferential operators with low regular symbols. Such symbols appear naturally in a Cauchy Problem related to recent weak solutions to the unstable Muskat problem constructed via convex integration. In particular, our new estimates reveal the tight relation between the speed of opening of the mixing zone and the regularity of the interphase |
|---|