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math.AP2010★ 11 cited
On Breakdown Criteria for Nonvacuum Einstein Equations
Arick Shao
The recent "breakdown criterion" result of S. Klainerman and I. Rodnianski stated roughly that an Einstein-vacuum spacetime, given as a CMC foliation, can be further extended in ti…
math.AP2010★ 7 cited
A Generalized Representation Formula for Systems of Tensor Wave Equations
Arick Shao
In this paper, we generalize the Kirchhoff-Sobolev parametrix of Klainerman and Rodnianski to systems of tensor wave equations with additional first-order terms. We also present a…