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math.AP2023★ 4 cited
Initial data gluing in the asymptotically flat regime via solution operators with prescribed support properties
Yuchen Mao, Sung-Jin Oh, Zhongkai Tao
We give new proofs of general relativistic initial data gluing results on unit-scale annuli based on explicit solution operators for the linearized constraint equation around the f…
math.AP2019
0-th Order Pseudo-differential Operator on the Circle
Zhongkai Tao
In this paper we consider 0-th order pseudodifferential operators on the circle. We show that inside any interval disjoint from critical values of the principal symbol, the spectru…