A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2009
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| _version_ | 1866914059139416064 |
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| author | Dafermos, Mihalis Rodnianski, Igor |
| author_facet | Dafermos, Mihalis Rodnianski, Igor |
| contents | We present a new general method for proving global decay of energy through a suitable spacetime foliation, as well as pointwise decay, starting from an integrated local energy decay estimate. The method is quite robust, requiring only physical space techniques, and circumvents use of multipliers or commutators with weights growing in t. In particular, the method applies to a wide class of perturbations of Minkowski space as well as to Schwarzschild and Kerr black hole exteriors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0910_4957 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | A new physical-space approach to decay for the wave equation with applications to black hole spacetimes Dafermos, Mihalis Rodnianski, Igor Analysis of PDEs General Relativity and Quantum Cosmology We present a new general method for proving global decay of energy through a suitable spacetime foliation, as well as pointwise decay, starting from an integrated local energy decay estimate. The method is quite robust, requiring only physical space techniques, and circumvents use of multipliers or commutators with weights growing in t. In particular, the method applies to a wide class of perturbations of Minkowski space as well as to Schwarzschild and Kerr black hole exteriors. |
| title | A new physical-space approach to decay for the wave equation with applications to black hole spacetimes |
| topic | Analysis of PDEs General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/0910.4957 |