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Strichartz estimates for the half wave/Klein-Gordon and Dirac Equations on compact manifolds without boundary
- Publication Year :
- 2023
-
Abstract
- In this paper we study Strichartz estimates for the half wave, the half Klein-Gordon and the Dirac Equations on compact manifolds without boundary, proving in particular for each of these flows local in time estimates both for the wave and Schroedinger admissible couples (in this latter case with an additional loss of regularity). The strategy for the proof is based on a refined version of the WKB approximation.<br />Comment: 24 pages
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2303.05841
- Document Type :
- Working Paper