2 papers
math.AP2026
Irregular Diffusions and Loss of Regularity in Polyconvex Gradient Flows
Bin Guo, Seonghak Kim, Baisheng Yan
We investigate diffusion-type partial differential equations that are irregular in the sense that they admit weak solutions which are nowhere smooth, even for prescribed smooth dat…
math.NA2024
Time splitting method for nonlinear Schrödinger equation with rough initial data in
Hyung Jun Choi, Seonghak Kim, Youngwoo Koh
We establish convergence results related to the operator splitting scheme on the Cauchy problem for the nonlinear Schrödinger equation with rough initial data in , $$ \left\{…