Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Yannis Angelopoulos"'
Publikováno v:
SIAM Journal on Mathematical Analysis. 52:135-163
We consider discrete analogues of two well-known open problems regarding invariant measures for dispersive PDE, namely, the invariance of the Gibbs measure for the continuum (classical) Heisenberg ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca0c8e83062d23d11fd969e58ea585f0
https://doi.org/10.1137/19m1265314
https://doi.org/10.1137/19m1265314
Publikováno v:
Communications in Mathematical Physics
Funder: Alfred P. Sloan Foundation; doi: http://dx.doi.org/10.13039/100000879
It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshi
It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1f387a80e49d5195adb1f1930da9abd
https://www.repository.cam.ac.uk/handle/1810/311914
https://www.repository.cam.ac.uk/handle/1810/311914
Publikováno v:
Annals of PDE. 6
We present the first rigorous study of nonlinear wave equations on extremal black hole spacetimes without any symmetry assumptions on the solution. Specifically, we prove global existence with asymptotic blow-up for solutions to nonlinear wave equati
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https://explore.openaire.eu/search/publication?articleId=doi_________::75863bdf48e24e5af198d7568e0e61a7
https://doi.org/10.1007/s40818-020-00087-7
https://doi.org/10.1007/s40818-020-00087-7
Publikováno v:
Advances in Mathematics. 323:529-621
We derive precise late-time asymptotics for solutions to the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes including as special cases the Schwarzschild and Reissner–Nordstrom families of black holes. We also
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https://explore.openaire.eu/search/publication?articleId=doi_________::e420e4b6c2e520e26a0e76950597dc4f
https://doi.org/10.1016/j.aim.2017.10.027
https://doi.org/10.1016/j.aim.2017.10.027
Publikováno v:
Advances in Mathematics. 375:107363
We derive the precise late-time asymptotics for solutions to the wave equation on extremal Reissner-Nordstr\"om black holes and explicitly express the leading-order coefficients in terms of the initial data. Our method is based on purely physical spa
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3014733c98fa3309fc053d5789ed370
https://doi.org/10.1016/j.aim.2020.107363
https://doi.org/10.1016/j.aim.2020.107363
It is shown that the conserved charges on the event horizon and the Cauchy horizon associated to scalar perturbations on extremal black holes are externally measurable from null infinity. This suggests that these charges have the potential to serve a
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e336aacb02f2a6ab5098f4d2c1dfed36
http://arxiv.org/abs/1809.10037
http://arxiv.org/abs/1809.10037
In our previous work [Y. Angelopoulos, S. Aretakis, and D. Gajic, Late-time asymptotics for the wave equation on spherically symmetric stationary backgrounds, in Advances in Mathematics 323 (2018), 529-621] we showed that the coefficient in the preci
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72c5cb38bad6e1b993be01db9a2d07c6
http://arxiv.org/abs/1802.05692
http://arxiv.org/abs/1802.05692
Autor:
Yannis Angelopoulos
Publikováno v:
International Mathematics Research Notices. 2016:3279-3355
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f20cbad82f4df8b083e9bee3780f142d
https://doi.org/10.1093/imrn/rnv240
https://doi.org/10.1093/imrn/rnv240
We obtain the second-order asymptotics for the radiation field of spherically symmetric solutions to the wave equation on spherically symmetric and asymptotically flat backgrounds including the Schwarzschild and sub-extremal Reissner-Nordstrom famili
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http://arxiv.org/abs/1712.09977
http://arxiv.org/abs/1712.09977
We show that degenerate horizons exhibit a new trapping effect. Specifically, we obtain a non-degenerate Morawetz estimate for the wave equation in the domain of outer communications of extremal Reissner-Nordstrom up to and including the future event
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::030c3d73b90dffcb004befac3d0710a0