A local energy estimate on Kerr black hole backgrounds

D Tataru, M Tohaneanu - International Mathematics Research …, 2011 - ieeexplore.ieee.org
We study dispersive properties for the wave equation in the Kerr space–time with small
angular momentum. The main result of this paper is to establish uniform energy bounds and …

Local decay of waves on asymptotically flat stationary space-times

D Tataru - American Journal of Mathematics, 2013 - muse.jhu.edu
In this article we study the pointwise decay properties of solutions to the wave equation on a
class of stationary asymptotically flat backgrounds in three space dimensions. Under the …

Local decay of waves on asymptotically flat stationary space-times

D Tataru - arxiv preprint arxiv:0910.5290, 2009 - arxiv.org
In this article we study the pointwise decay properties of solutions to the wave equation on a
class of stationary asymptotically flat backgrounds in three space dimensions. Under the …

[HTML][HTML] Blow up of critical semilinear wave equations on Schwarzschild spacetime

NA Lai - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
In this paper, we established the blow up theorem for critical semilinear wave equations with
focusing nonlinear term on Schwarzschild spacetime. Concavity method is used to prove the …

[CARTE][B] Localized energy estimates of the wave equation on higher dimensional hyperspherical Schwarzschild spacetimes

P Laul - 2011 - search.proquest.com
Dimensional Hypersplnerical Schwarzschill Spacetilms Page 1 Localized Energy Estimats Of
The Wave Equation On Higlior Dimensional Hypersplnerical Schwarzschill Spacetilms |?;arul …

Localized Energy Estimates for Wave Equations on Higher Dimensional Black Holes

S Tikare - 2014 - cdr.lib.unc.edu
A robust measure of decay and dispersion for the wave equation is provided by the localized
energy estimates, which have been essential in proving, eg the Strichartz estimates on black …