Kim, Seonghak

Kyungpook National University · Mathematics

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Professor

Prof. 김성학

About

편미분방정식(Partial Differential Equations)과 변분법을 전공한다. 포물형·쌍곡형 편미분방정식, 볼록적분(convex integration)을 이용한 약해 구성, 탄성역학과 개체군 동역학 등을 연구한다. Perona-Malik 방정식, 보존법칙 등 고전적 해가 없는 비선형 문제에 대한 무한히 많은 약해 구성을 다룬다.

Research keywords

편미분방정식

Selected publications

Weak solutions to a hyperbolic-elliptic problemJournal of Functional Analysis (J. Funct. Anal.) · 2025
Time splitting method for nonlinear Schrödinger equation with rough initial data in L^2Journal of Differential Equations (J. Differential Equations) · 2025
On integral convexity, variational solutions and nonlinear semigroupsJournal de Mathématiques Pures et Appliquées (J. Math. Pures Appl.) · 2025
Fine phase mixtures in one-dimensional hyperbolic-elliptic problemJournal of Differential Equations (J. Differential Equations) · 2023
Exponential decay for quasilinear parabolic equations in any dimensionDiscrete and Continuous Dynamical Systems - Series B (Discrete Contin. Dyn. Syst. Ser. B) · 2022
Two-phase solutions for one-dimensional non-convex elastodynamicsArchive for Rational Mechanics and Analysis (Arch. Ration. Mech. Anal.) · 2019

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