******************* Researchers

Do Hoang Son


Associate Professor, Doctor

Department of Mathematical Analysis and Differential Equations
Research interests: Complex analysis & PDE


Address
Office: Building A5, Room 105
Tel: 04 37563474 (ext 106)
Email: dhson AT math.ac.vn, hoangson.do.vn AT gmail.com

Born in Yen Trung, Thach That, Ha Noi  in 1988

Education and academic degrees:

  • 2006-2010: Bachelor of Science in Mathematics,  Hanoi University of Education, Vietnam
  • 2010-2011:Master 1 of Science in Mathematics, Hanoi University of Education, Vietnam
  • 2011-2012: Master 2 of Science in Mathematics, Université Paul-Sabatier, Toulouse, France
  • 2012-2015: PhD Student in Mathematics, Université Paul-Sabatier, Toulouse, France
  • 2022: Associate Professor


Research areas: Analysis & PDE

 

PUBLICATIONS

List of recent publications
1Do Hoang Son, Vũ Đức Việt, Quantitative stability for the complex Monge-Ampère equations II. Calculus of Variations and Partial Differential Equations 64 (2025), no. 8, Paper No. 269, (SCI-E, Scopus).
2Đặng Quang Tuấn, Do Hoang Son, Phạm Hoàng Hiệp, Singularities vs non-pluripolar Monge–Ampère masses, Mathematische Zeitschrift 311 (2025), no. 3, Paper No. 47, (SCI-E, Scopus).
3Do Hoang Son, Vũ Đức Việt, Quantitative stability for complex Monge–Ampère equations, I, Analysis & PDE, Vol. 18 (2025), No. 5, 1271–1308, (SCI-E, Scopus).
4Do Hoang Son, Nguyễn Quang Diệu, On the viscosity approach to a class of fully nonlinear elliptic equations, Journal of Mathematical Analysis and Applications, Volume 530 (2024), Issue 2, 12768, (SCI-E, Scopus).
5Do Hoang Son, Viscosity solutions to parabolic complex Hessian type equations, Annales Polonici Mathematici, 129 (2022), no 2, 97-116, (SCI-E, Scopus).
6Do Hoang Son, Phạm Ngọc Thành Công, A Comparison Principle for Parabolic Complex Monge–Ampère Equations, Journal of Geometric Analysis, Vol 32 (2022), 19pp, (SCI-E, Scopus).
7Do Hoang Son, Le Giang, On the conditional plurisubharmonic envelopes of bounded functions, International Journal of Mathematics, Volume 32 (2021), Issue 09, Article 2150060, (SCI-E,Scopus).
8Do Hoang Son, An integral theorem for plurisubharmonic functions, Journal of Mathematical Analysis and Applications, Volume 495 (2021), No 2, 124741. (SCI-E, Scopus).
9Do Hoang Son, Đỗ Thái Dương, Some remarks on the Cegrell class F, Annales Polonici Mathematici, Vol 125, no 1, 13-24 (2020), (SCI-E), Scopus.
10Do Hoang Son, Phạm Hoàng Hiệp, Đỗ Thái Dương, Complex Monge-Ampère Equation in Strictly Pseudoconvex Domains. Acta Mathematica Vietnamica, 45 (2020), no 1, 93–101, Scopus.
11Do Hoang Son, Lê Giang, Tô Tất Đạt, Viscosity solutions to parabolic complex Monge–Ampère equations, Calculus of Variations and PDEs, Vol. 59, Article number: 45 (2020), SCI(-E), Scopus.
12Do Hoang Son, A class of maximal plurisubharmonic functions, Comptes Rendus Mathematique, Vol. 357, no 11-12, 858-862 (2019), SCI(-E); Scopus.
13Slawomir Dinew, Do Hoang Son, Tô Tất Đạt, A viscosity approach to the Dirichlet problem for degenerate complex Hessian type equations, Analysis & PDE, 12 (2019), 505-535, SCI(-E); Scopus.
14Do Hoang Son, Weak solution of Parabolic complex Monge-Ampère equation, Indiana University Mathematics Journal, 66 (2017), 1949-1979, SCI(-E); Scopus.
15Do Hoang Son, Degenerate complex Monge–Ampère flows on strictly pseudoconvex domains, Mathematische Zeitschrift, 287 (2017), pp 587–614, SCI(-E); Scopus.
16Do Hoang Son, Weak solution of parabolic complex Monge–Ampère equation II, International Journal of Mathematics, 27 (2016), (17 pages), SCI(-E); Scopus .
Preprints
1IMh20250501, Đặng Quang Tuấn, Do Hoang Son, Modulus of continuity of Monge-Ampère potentials in big cohomology classes.
2IMH20240703, Đỗ Thái Dương, Do Hoang Son, Lê Văn Tứ, Phạm Ngọc Thành Công, A Dirichlet type problem for non-pluripolar complex Monge-Ampère equations.
3IMH20240702, Do Hoang Son, Vũ Đức Việt, Log continuity of solutions of complex Monge-Ampère equations.