Abstract
In this paper we prove local smoothing estimates for the Dirac equation on some non-flat manifolds; in particular, we will consider asymptotically flat and warped products metrics. The strategy of the proofs relies on the multiplier method.
| Original language | English |
|---|---|
| Pages (from-to) | 4359-4398 |
| Number of pages | 40 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 39 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 1 Aug 2019 |
| Externally published | Yes |
Keywords
- Asymptotically flat manifolds
- Dirac equation
- Dispersion
- PDEs
- Warped products
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