Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Oran Gannot"'
Autor:
Michał Wrochna, Oran Gannot
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 21:67-127
We consider the Klein-Gordon equation on asymptotically anti-de Sitter spacetimes subject to Neumann or Robin (or Dirichlet) boundary conditions, and prove propagation of singularities along generalized broken bicharacteristics. The result is formula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::893fbd0d44d9bae24ec98f73e5a64501
https://doi.org/10.1017/s147474802000002x
https://doi.org/10.1017/s147474802000002x
Publikováno v:
Communications in Mathematical Physics. 362:269-294
Let $H$ denote the harmonic oscillator Hamiltonian on $\mathbb{R}^d,$ perturbed by an isotropic pseudodifferential operator of order $1.$ We consider the Schr\"odinger propagator $U(t)=e^{-itH},$ and find that while $\operatorname{singsupp} \operator
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::efb2f3f0962a19b015f1c73ba1dbb04e
https://doi.org/10.1007/s00220-018-3100-5
https://doi.org/10.1007/s00220-018-3100-5
Autor:
Oran Gannot
Publikováno v:
Annales de l’institut Fourier. 68:1125-1167
The quasinormal frequencies of massive scalar fields on Kerr-AdS black holes are identified with poles of a certain meromorphic family of operators, once boundary conditions are specified at the conformal boundary. Consequently, the quasinormal frequ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ae77d7dfbfcfde2dd5e353abfa57983
https://doi.org/10.5802/aif.3186
https://doi.org/10.5802/aif.3186
Autor:
Oran Gannot
We study robustness properties of some iterative gradient-based methods for strongly convex functions, as well as for the larger class of functions with sector-bounded gradients, under a relative error model. Proofs of the corresponding convergence r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::408909e3ed0a3562f1f3194957e7d48d
http://arxiv.org/abs/1912.13494
http://arxiv.org/abs/1912.13494
Autor:
Oran Gannot
Publikováno v:
Anal. PDE 12, no. 2 (2019), 537-560
We show that the resolvent grows at most exponentially with frequency for the wave equation on a class of stationary spacetimes which are bounded by non-degenerate Killing horizons, without any assumptions on the trapped set. Correspondingly, there e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6c9b246fad9a5643538b72890008540
https://projecteuclid.org/euclid.apde/1539050449
https://projecteuclid.org/euclid.apde/1539050449
Autor:
Jared Wunsch, Oran Gannot
We consider the Schr\"odinger operator \[ P=h^2 \Delta_g + V \] on $\mathbb{R}^n$ equipped with a metric $g$ that is Euclidean outside a compact set. The real-valued potential $V$ is assumed to be compactly supported and smooth except at conormal sin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a517b10221166e562f1c06168179bc1
http://arxiv.org/abs/1809.03012
http://arxiv.org/abs/1809.03012
Autor:
Oran Gannot
Publikováno v:
Pacific Journal of Mathematics. 277:77-97
We consider self-adjoint operators of black-box type which are exponentially close to the free Laplacian near infinity, and prove an exponential bound for the resolvent in a strip away from resonances. Here the resonances are defined as poles of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1263055e19ecec022fe258b6173a86c3
https://doi.org/10.2140/pjm.2015.277.77
https://doi.org/10.2140/pjm.2015.277.77
Autor:
Oran Gannot
This note describes the behavior of null-geodesics near nondegenerate Killing horizons in language amenable to the application of a general framework, due to Vasy and Hintz, for the analysis of both linear and nonlinear wave equations. Throughout, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29572023510e092f4b3934baf146d1d6
Autor:
Oran Gannot
Publikováno v:
Communications in Mathematical Physics. 330:771-799
We study quasinormal modes for massive scalar fields in Schwarzschild–anti-de Sitter black holes. When the mass-squared is above the Breitenlohner–Freedman bound, we show that for large angular momenta, l, there exist quasinormal modes with imagi
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https://doi.org/10.1007/s00220-014-2002-4
https://doi.org/10.1007/s00220-014-2002-4
Autor:
Oran Gannot
This paper establishes the existence of quasinormal frequencies converging exponentially to the real axis for the Klein--Gordon equation on a Kerr-AdS spacetime when Dirichlet boundary conditions are imposed at the conformal boundary. The proof is ad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::081e3444b5a99342ddfd0f716950697c