Published June 10, 2021
| Version v1
Journal article
New counterexamples to Strichartz estimates for the wave equation on a 2d model convex domain
Contributors
Others:
- Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)) ; Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)
- Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
- Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)) ; Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)
- European Project: 757996,ANADEL
Description
We prove that the range of Strichartz estimates on a model 2D convex domain may be further restricted compared to the known counterexamples due to the first author. Our new family of counterexamples is now built on the parametrix construction from our earlier work. Interestingly enough, it is sharp in at least some regions of phase space.
Abstract
21 pagesAbstract
International audienceAdditional details
Identifiers
- URL
- https://hal.archives-ouvertes.fr/hal-02938051
- URN
- urn:oai:HAL:hal-02938051v1
Origin repository
- Origin repository
- UNICA