4 papers
The good commutator approach to global asymptotics for the Schrödinger equation with variable coefficients
Sung-Jin Oh, Federico Pasqualotto, Ning Tang
We present a robust physical-space approach to establish time decay and global asymptotics of solutions to variable-coefficient Schrödinger equations in (3+1)-dimensions. As an im…
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 space…
Stability of the Catenoid for the Hyperbolic Vanishing Mean Curvature Equation Outside Symmetry
Jonas Luhrmann, Sung-Jin Oh, Sohrab Shahshahani
We study the problem of stability of the catenoid, which is an asymptotically flat rotationally symmetric minimal surface in Euclidean space, viewed as a stationary solution to the…
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+(-Î)^{\frac…