Weak dispersion for the Dirac equation on asymptotically flat and warped products spaces
Analysis of PDEs
2018-12-18 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1602.04653,
title = {Weak dispersion for the Dirac equation on asymptotically flat and warped products spaces},
author = {Federico Cacciafesta and Anne-Sophie de Suzzoni},
journal= {arXiv preprint arXiv:1602.04653},
year = {2018}
}
Comments
The discussion of section 5 has been expanded and some details have been added