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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.AP2025
Lossless Strichartz and spectral projection estimates on unbounded manifolds
Xiaoqi Huang, Christopher D. Sogge, Zhongkai Tao +1
We prove new lossless Strichartz and spectral projection estimates on asymptotically hyperbolic surfaces, and, in particular, on all convex cocompact hyperbolic surfaces. In order…
math.AP2023
Optimal enhanced dissipation for contact Anosov flows
Zhongkai Tao, Maciej Zworski
We show that for a contact Anosov flow on a compact manifold , the solutions to , , where is the generator of the flow and , a (n…