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한밭대학교수리과학과

 
HIGHHANBAT

미래가치를 창출하는 글로컬 산학일체 혁신대학

Partial Differential Equations

Soo-Hyun Bae
Soohyun Bae
  • Office : Building N13(#707)
  • Tel : +82-42-821-1369
  • E-mail : shbae@hanbat.ac.kr

Research topics cover nonlinear differential equations and the applications to diverse fields which appear in the real world.

Partial Differential Equations

Professional Experience

  • 2003.03 – Present Professor, Department of Mathematical Sciences, Hanbat National University
  • 1999.12 – 2003.02 Research Professor, Natural Science Research Institute, Yonsei University

Publications

  • Entire solutions with asymptotic self-similarity for elliptic equations with exponential nonlinearity, Journal of Mathematical Analysis and Applications 428 (2015), 1085–1116.
  • with Yuki Naito, Existence and separation of positive radial solutions for semilinear elliptic equations, Journal of Differential Equations 257 (2014), 2430–2463.
  • with Sun-Ho Choi and Seung-Yeal Ha, Dynamical instability of the Vlasov-Poisson-Boltzmann system in high dimensions, in: Hyperbolic Problems: Theory, Numerics, Applications, in: AIMS Appl. Math., vol.8, 2014, pp. 125-146.
  • Classification of positive solutions of semilinear elliptic equations with Hardy term, Discrete and Continuous Dynamical Systems, Supplement 2013, 31–39.
  • with Jaeyoung Byeon, Standing waves of nonlinear Schrodinger equations with optimal conditions for potential and nonlinearity, Communications on Pure and Applied Analysis 12(2) (2013), 831–850.
  • On the elliptic equation \Delta u + Ku^p =0 in R^n, Discrete and Continuous Dynamical Systems 33(2) (2013), 555–577.
  • with Rejeb Hadiji, Francois Vigneron and Habib Yazidi, A non-linear problem involving a critical Sobolev exponent, Journal of Mathematical Analysis and Applications 396 (2012), 98–107.
  • with Ohsang Kwon, Nonexistence of positive solutions of nonliner elliptic systems with potentials vanishing at infinity, Nonlinear Analysis TMA 75(10) (2012), 4025–4032.

Research Grant

  • 2014 – 2017 NRF – 2014R1A1A2055953 – Existence and self-similarity of solutions for elliptic equations
  • 2017 – 2022 NRF – 2017R1D1A1B04034508 – Characteristics of solutions for nonlinear elliptic equations

Teaching

  • 2016 Fall Real Analysis
  • 2017 Spring Partial Differential Equations