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math.AP2023
On integral convexity, variational solutions and nonlinear semigroups
Seonghak Kim, Baisheng Yan
In this paper we provide a different approach for existence of the variational solutions of the gradient flows associated to functionals on Sobolev spaces studied in \cite{BDDMS20}…
math.NA2023
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\{…