Khanh Nguyen
Name in Vietnamese: Nguyễn Ngọc Khanh
Email: khanhnguyen@amss.ac.cn
Affiliation
Academy of Mathematics and Systems Science,
Chinese Academy of Sciences, Beijing, China
Education & Employment
Chinese Academy of Sciences, Beijing, China
Postdoc (2023-present, mentor: Prof. Panu Lahti)Vietnam National University, Hanoi, Vietnam
Lecturer (2022-2023), TA (2015-2017)
Bachelor & Master (2011-2017, supervisor: Prof. Nguyễn Thạc Dũng)University of Jyväskylä, Jyväskylä, Finland
Postdoc (2021-2022, mentored and supported by Prof. Pekka Koskela)
PhD (2017-2021, supervisor: Prof. Pekka Koskela)
Research interests
Analysis on metric spaces
Sobolev functions
Functions of bounded variation
Variational minimizers
Publications
J. Kline, P. Koskela and K. Nguyen, Large-scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces, J. Geom. Anal. 35 (2025), no. 7, Paper No. 214, 49 pp.
P. Lahti and K. Nguyen, Lusin approximation for functions of bounded variation, Calc. Var. Partial Differential Equations 64 (2025), no.5, Paper No. 157, 24 pp.
P. Lahti and K. Nguyen, Existence and uniqueness of limits at infinity for bounded variation functions, J. Geom. Anal. 34 (2024), no.11, Paper No. 344, 38 pp.
P. Koskela and K. Nguyen, Existence and uniqueness of limits at infinity for homogeneous Sobolev functions, J. Funct. Anal. 285 (2023), no.11, Paper No. 110154, 22 pp.
S. Eriksson-Bique, P. Koskela and K. Nguyen, On limits at infinity of weighted Sobolev functions, J. Funct. Anal. 283 (2022), no.10, Paper No. 109672, 40 pp.
P. Koskela, K. Nguyen and Z. Wang, Trace and density results on regular trees, Potential Anal. 7 (2022), no.1, 101--128.
N.T. Dung and K. Nguyen, Gradient estimates for a class of semilinear parabolic equations and their applications, Vietnam J. Math. 50 (2022), no.1, 249--259.
K. Nguyen, Classification criteria for regular trees, Ann. Fenn. Math. 47 (2022), no.1, 3--21.
P. Koskela, K. Nguyen and Z. Wang, Trace operators on regular trees, Anal. Geom. Metr. Spaces 8 (2020), no.1, 396--409.
K. Nguyen and Z. Wang, Admissibility versus $\rm A_p$-conditions on regular trees, Anal. Geom. Metr. Spaces 8 (2020), no.1, 92--105.
N.T. Dung, K. Nguyen and T.C. Son, The number of cusps of complete Riemannian manifolds with finite volume, Taiwanese J. Math. 22 (2018), no.6, 1403--1425.
N.T. Dung, K. Nguyen and Q.A. Ngô, Gradient estimates for some $f$-heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces, Manuscripta Math. 155 (2018), no.3-4, 471--501.
N.V. Thu and K. Nguyen, A note on uniqueness boundary of holomorphic mappings, Complex Var. Elliptic Equ. 62 (2017), no.4, 481--493.
K. Nguyen, Gradient estimates of Li Yau type for a general heat equation on Riemannian manifolds, Arch. Math. (Brno) 52 (2016), no.4, 207--219.
N.T. Dung and K. Nguyen, Gradient estimates of Hamilton-Souplet-Zhang type for a general heat equation on Riemannian manifolds, Arch. Math. (Basel) 105 (2015), no.5, 479--490.