57 citations · 199 across the 13 of their papers we have counts for
14 papers
Energy-Morawetz estimates for Teukolsky equations in perturbations of Kerr
Siyuan Ma, Jérémie Szeftel
In this paper, we prove energy and Morawetz estimates for solutions to Teukolsky equations in spacetimes with metrics that are perturbations, compatible with nonlinear applications…
Generically sharp decay and blowing up at infinity for a weak null wave system
Shijie Dong, Siyuan Ma, Yue Ma +1
We study a system of semilinear wave equations satisfying the weak null condition, which can be regarded as a simplified model for the Einstein vacuum equations. The main objective…
Energy-Morawetz estimates for the wave equation in perturbations of Kerr
Siyuan Ma, Jérémie Szeftel
In this paper, we prove energy and Morawetz estimates for solutions to the scalar wave equation in spacetimes with metrics that are perturbations, compatible with nonlinear applica…
Generically sharp decay for quasilinear wave equations with null condition
Shijie Dong, Siyuan Ma, Yue Ma +1
We are interested in the three-dimensional quasilinear wave equations with null condition. Global existence and pointwise decay for this model have been proved in the celebrated wo…
Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture
Siyuan Ma, Lin Zhang
In this work, we compute the precise late-time asymptotics for the scalar field in the interior of a non-static subextreme Kerr black hole, based on recent progress on deriving its…
Sharp decay for Teukolsky equation in Kerr spacetimes
Siyuan Ma, Lin Zhang
In this work, we derive the global sharp decay, as both a lower and an upper bounds, for the spin components, which are solutions to the Teukolsky equation, in t…
Nonlinear radiation gauge for near Kerr spacetimes
Lars Andersson, Thomas Bäckdahl, Pieter Blue +1
In this paper, we introduce and explore the properties of a new gauge choice for the vacuum Einstein equation inspired by the ingoing and outgoing radiation gauges (IRG, ORG) for t…
Price's law for spin fields on a Schwarzschild background
Siyuan Ma, Lin Zhang
In this work, we derive the globally precise late-time asymptotics for the spin- fields on a Schwarzschild background, including the scalar field ,…
Sharp decay estimates for massless Dirac fields on a Schwarzschild background
Siyuan Ma, Lin Zhang
We consider the explicit asymptotic profile of massless Dirac fields on a Schwarzschild background. First, we prove for the spin components of the Dirac field a…
Almost Price's law in Schwarzschild and decay estimates in Kerr for Maxwell field
Siyuan Ma
We consider in this work the asymptotics of a Maxwell field in Schwarzschild and Kerr spacetimes. In any subextremal Kerr spacetime, we show energy and pointwise decay estimates fo…
Stability for linearized gravity on the Kerr spacetime
Lars Andersson, Thomas Bäckdahl, Pieter Blue +1
In this paper we prove integrated energy and pointwise decay estimates for solutions of the vacuum linearized Einstein equation on the domain of outer communication of the Kerr bla…
Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole II: linearized gravity
Siyuan Ma
This second part of the series treats spin components (or extreme components), that satisfy the Teukolsky master equation, of the linearized gravity in the exterior of a slo…
Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole I: Maxwell field
Siyuan Ma
This first part of the series treats the Maxwell equations in the exterior of a slowly rotating Kerr black hole. By performing a first-order differential operator on each extreme N…
Mode stability on the real axis
Lars Andersson, Siyuan Ma, Claudio Paganini +1
A generalization of the mode stability result of Whiting (1989) for the Teukolsky equation is proved for the case of real frequencies. The main result of the paper states that a se…