Abstract
We prove global Strichartz estimates without loss for the wave equation outside two strictly convex obstacles, following the road-map previously introduced by the author for the Schrödinger equation. Moreover, we show a first step towards the large data scattering for the critical non-linear equation associated to this geometrical setting, and prove the scattering for a class of non-trapping obstacles close to the two convex framework.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.