2 citations · 2 across the 6 of their papers we have counts for
6 papers
Existence and stability of Sadovskii vortices: from patch to smooth vortices
Ken Abe, Kyudong Choi, In-Jee Jeong +2
We establish a scaling-invariant variational framework for steadily translating dipoles of the two-dimensional incompressible Euler equations. Specifically, we consider the maximiz…
Emergence of peaked singularities in the Euler-Poisson system
Junsik Bae, Sang-Hyuck Moon, Kwan Woo
We consider the one-dimensional Euler-Poisson system equipped with the Boltzmann relation and provide the exact asymptotic behavior of the peaked solitary wave solutions near the p…
Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with drift
Pilgyu Jung, Kwan Woo
We explore the higher integrability of Green's functions associated with the second-order elliptic equation in a bounded domain $Ω\subset \mathbb{R}^…
Sobolev spaces and trace theorems for time-fractional evolution equations
Doyoon Kim, Kwan Woo
We establish trace and extension theorems for evolutionary equations with the Caputo fractional derivatives in (weighted) spaces. To achieve this, we identify weighted Sobole…
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces
Doyoon Kim, Kyeong-Hun Kim, Kwan Woo
We present weighted Sobolev spaces and prove a trace theorem for the spaces. As an application, we discuss non-zero boundary value problems for parabolic equations. The weighted pa…
Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms
Doyoon Kim, Seungjin Ryu, Kwan Woo
We prove the Lp,q-solvability of parabolic equations in divergence form with full lower-order terms. The coefficients and non-homogeneous terms belong to mixed Lebesgue spaces with…