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Hyungsung Yun
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Hyungsung Yun
  • Home
  • Publications
  • Talks
  • Activities
  • More
    • Home
    • Publications
    • Talks
    • Activities

Publications

  • Boundary regularity for viscosity solutions of fully nonlinear degenerate/singular parabolic equations (with Ki-Ahm Lee)
    Calc. Var. Partial Differential Equations, Vol. 64 (2025), article number 25

  • Generalized Schauder theory and its application to degenerate/singular parabolic equations (with Takwon Kim and Ki-Ahm Lee)
    Math. Ann. Vol. 390 (2024), Pages 6049-6109.

  • C1,α-regularity for solutions of degenerate/singular fully nonlinear parabolic equations (with  Ki-Ahm Lee and Se-Chan Lee)
    J. Math. Pures Appl. (9) Vol. 181 (2024), Pages 152-189.

  • C1,α-regularity for solutions in solution classes and its application to parabolic normalized p-Laplace equations (with Se-Chan Lee)
    J. Differential Equations Vol. 378 (2024), Pages 539-558.

  • Higher regularity up to boundary for degenerate parabolic equations (with Takwon Kim and Ki-Ahm Lee)
    J. Differential Equations Vol. 348 (2023), Pages 223-277.

Preprints

  • Boundary Hölder gradient estimates for fully nonlinear degenerate or singular parabolic equations, arXiv:2509.16613, 43pp.

  • Boundary Hölder gradient estimates for parabolic p-Laplace type equations (with Se-Chan Lee, Yuanyuan Lian, and Kai Zhang), arXiv:2506.0101, 48pp.

  • Optimal regularity for degenerate parabolic equations on a flat boundary, arXiv:2504.04824,18pp.

  • Time derivative estimates for parabolic p-Laplace equations and applications to optimal regularity (with Se-Chan Lee, Yuanyuan Lian, and Kai Zhang), arXiv:2503.04384, 21pp.

  • Regularity theory for fully nonlinear equations of porous medium-type, arXiv:2407.20022, 24pp.

Books

  • 실전 미적분학 1, 서울대학교 출판문화원, 2024

  • 실전 미적분학 2, 서울대학교 출판문화원, 2024 

Ph.D. Dissertation

  • Regularity Theory for Degenerate/Singular Parabolic Equations, Seoul National University, 2024. 

Last updated: December 4, 2025.
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