Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Spyros Alexakis"'
We introduce a method of solving inverse boundary value problems for wave equations on Lorentzian manifolds, and show that zeroth order coefficients can be recovered under certain curvature bounds. The set of Lorentzian metrics satisfying the curvatu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0eff9fb22976c8601dc7d8a8b1c2439c
http://arxiv.org/abs/2008.07508
http://arxiv.org/abs/2008.07508
Autor:
Arick Shao, Spyros Alexakis
Publikováno v:
Transactions of the American Mathematical Society. 369:5525-5542
We consider singularities of the focusing subconformal nonlinear wave equation and some generalizations of it. At noncharacteristic points on the singularity surface, Merle and Zaag have identified the rate of blow-up of the $H^1$-norm of the solutio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67140336c553da6499fe9d7e2cbf977f
https://doi.org/10.1090/tran/6820
https://doi.org/10.1090/tran/6820
Publikováno v:
Advances in Mathematics. 286:481-544
We prove various uniqueness results from null infinity, for linear waves on asymptotically flat space-times. Assuming vanishing of the solution to infinite order on suitable parts of future and past null infinities, we derive that the solution must v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2050aa772dd34ccf894d6566d67fe168
https://doi.org/10.1016/j.aim.2015.08.028
https://doi.org/10.1016/j.aim.2015.08.028
Autor:
Spyros Alexakis, Arick Shao
Publikováno v:
Journal of the European Mathematical Society. 18:2045-2106
We consider smooth null cones in a vacuum spacetime that extend to future null infinity. For such cones that are perturbations of shear-free outgoing null cones in Schwarzschild spacetimes, we prove bounds for the Bondi energy, momentum, and rate of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::156b6f2c8f022b1a9a68acbb811a7b5b
https://doi.org/10.4171/jems/638
https://doi.org/10.4171/jems/638
Autor:
Spyros Alexakis
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 019 (2011)
This paper forms part of a larger work where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ''global conformal invariants''; these are defined to be conformally invariant integrals of geometric scalars. The conjectu
Externí odkaz:
https://doaj.org/article/619aeb107d8d4560a5d3b176f7efe768
Autor:
Arick Shao, Spyros Alexakis
Publikováno v:
Journal of Functional Analysis. 269:3458-3499
We prove a unique continuation from infinity theorem for regular waves of the form $[ \Box + \mathcal{V} (t, x) ]\phi=0$. Under the assumption of no incoming and no outgoing radiation on specific halves of past and future null infinities, we show tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d658a8e32419848acdb587011f81b98
https://doi.org/10.1016/j.jfa.2015.08.012
https://doi.org/10.1016/j.jfa.2015.08.012
We prove that if $(M,g)$ is a topological 3-ball with a $C^4$-smooth Riemannian metric $g$, and mean-convex boundary $\partial M$ then knowledge of least areas circumscribed by simple closed curves $\gamma \subset \partial M$ uniquely determines the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80f7e224ccf664ba124f33ac14658bc6
Autor:
Spyros Alexakis
Publikováno v:
Pacific Journal of Mathematics. 260:1-87
This paper forms part of a larger work where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of "global conformal invariants"; these are defined to be conformally invariant integrals of geometric scalars. The conjecture
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e6afc99e72707b3ad06bb90bff73c64
https://doi.org/10.2140/pjm.2012.260.1
https://doi.org/10.2140/pjm.2012.260.1
Publikováno v:
Geometric and Functional Analysis. 20:845-869
We prove the existence of a Hawking Killing vector-field in a full neighborhood of a local, regular, bifurcate, non-expanding horizon embedded in a smooth vacuum Einstein manifold. The result extends a previous result of Friedrich, Racz and Wald, see
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21dee381afffb4ef1f73df9e36cf5ed3
https://doi.org/10.1007/s00039-010-0082-7
https://doi.org/10.1007/s00039-010-0082-7
Autor:
Rafe Mazzeo, Spyros Alexakis
Publikováno v:
J. Differential Geom. 101, no. 3 (2015), 369-422
We study various aspects related to boundary regularity of complete properly embedded Willmore surfaces in $\mathbb{H}^3$, particularly those related to assumptions on boundedness or smallness of a certain weighted version of the Willmore energy. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0a4323e0ace4f7cce76bd387582cca3
https://doi.org/10.4310/jdg/1445518919
https://doi.org/10.4310/jdg/1445518919