Jung-Tae Park (박정태)



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Research Fellow

Korea Institute for Advanced Study (KIAS)
85 Hoegiro, Dongdaemun-gu
Seoul 02455, Korea

Office: 1515
Email:

Education

Ph.D. in Mathematics, Seoul National University, September 2013 – February 2018   (Advisor: Sun-Sig Byun)
M.S. in Mathematics, Seoul National University, March 2007 – August 2009   (Advisor: Sun-Sig Byun)
B.S. in Mathematics, Pusan National University, March 2000 – February 2007

Curriculum Vitae   pdf


Research Interests

Regularity theory for elliptic and parabolic differential equations

Publications and Preprints

  1. Marcinkiewicz regularity for singular parabolic $p$-Laplace type equations with measure data, Submitted. Preprint
  2. (with Pilsoo Shin) Regularity estimates for singular parabolic measure data problems with sharp growth, Submitted. Preprint
  3. (with Karthik Adimurthi and Sun-Sig Byun) End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains, Calc. Var. Partial Differential Equations, 60(4), Paper No. 145, 67pp, 2021. Article, Preprint
  4. (with Sun-Sig Byun and Yumi Cho) Nonlinear gradient estimates for elliptic double obstacle problems with measure data, J. Differential Equations, 293, 249–281, 2021. Article, Preprint
  5. (with Sun-Sig Byun and Pilsoo Shin) Global regularity for degenerate/singular parabolic equations involving measure data, Calc. Var. Partial Differential Equations, 60(1), Paper No. 18, 32pp, 2021. Article, Preprint
  6. (with Sun-Sig Byun) Optimal regularity for nonlinear elliptic equations with righthand side measure in variable exponent spaces, Indiana Univ. Math. J., 67(6), 2123–2150, 2018. Article, Preprint
  7. (with Sun-Sig Byun) Global weighted Orlicz estimates for parabolic measure data problems: application to estimates in variable exponent spaces, J. Math. Anal. Appl., 467(2), 1194–1207, 2018. Article, Preprint
  8. (with Karthik Adimurthi and Sun-Sig Byun) Sharp gradient estimates for quasilinear elliptic equations with $p(x)$ growth on nonsmooth domains, J. Funct. Anal., 274(12), 3411–3469, 2018. Article, Preprint
  9. (with Sun-Sig Byun and Jihoon Ok) Regularity estimates for quasilinear elliptic equations with variable growth involving measure data, Ann. Inst. H. Poincaré Anal. Non Linéaire, 34(7), 1639–1667, 2017. Article, Preprint

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