71 citations · 267 across the 38 of their papers we have counts for
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Illposedness for dispersive equations: Degenerate dispersion and Takeuchi--Mizohata condition
In-Jee Jeong, Sung-Jin Oh
We provide a unified viewpoint on two illposedness mechanisms for dispersive equations in one spatial dimension, namely degenerate dispersion and (the failure of) the Takeuchi--Miz…
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…
Illposedness via degenerate dispersion for generalized surface quasi-geostrophic equations with singular velocities
Dongho Chae, In-Jee Jeong, Sung-Jin Oh
We prove strong nonlinear illposedness results for the generalized SQG equation in any sufficiently regular Sobolev spaces, w…
Well-posedness for Ohkitani model and long-time existence for surface quasi-geostrophic equations
Dongho Chae, In-Jee Jeong, Jungkyoung Na +1
We consider the Cauchy problem for the logarithmically singular surface quasi-geostrophic (SQG) equation, introduced by Ohkitani, $$\partial_t θ- \nabla^\perp \log(10+(-Δ)^{\frac12…