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math.AP2025
Integral formulas for under/overdetermined differential operators via recovery on curves and the finite-dimensional cokernel condition I: General theory
Philip Isett, Yuchen Mao, Sung-Jin Oh +1
We introduce a new versatile method for constructing solution operators (i.e., right-inverses up to a finite rank operator) for a wide class of underdetermined PDEs , whic…
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…