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Nonlinear Analysis Lab

Nonlinear Analysis Lab

KAIST · Mathematical Sciences

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Professor

Prof. 권순식

Professor's page · publications

About

KAIST 수리과학과 권순식 교수의 연구실은 편미분방정식 해석학, 특히 비선형 분산형 방정식(nonlinear dispersive equations)을 연구한다. 비선형 슈뢰딩거 방정식, self-dual Chern-Simons-Schrödinger 방정식의 blow-up 동역학 및 soliton resolution, well-posedness 등을 다룬다.

Research keywords

Partial differential equations

Selected publications

  • Soliton resolution for equivariant self-dual Chern-Simons-Schrödinger equation in weighted Sobolev classAmerican Journal of Mathematics, vol. 147, no. 6 · 2025
  • Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern-Simons-Schrödinger equationAnnales scientifiques de l'École normale supérieure, vol. 57, no. 6 · 2024
  • Modified scattering of Dirac equations of scattering-critical nonlinearityAdvances in Differential Equations, vol. 29 (3/4) · 2023
  • Critical local well-posedness of the nonlinear Schrödinger equation on torusAnnales de l'Institut Henri Poincaré (online first) · 2024

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