Đào Nguyên Anh

Tiến sĩ Toán


KTLQLNN - Khoa Toán - Thống kê


QUÁ TRÌNH ĐÀO TẠO

  • 2014, Tiến sĩ, Toán, François Rabelais University

LĨNH VỰC ĐÀO TẠO - NGHIÊN CỨU

  • Tiến sĩ
    • TS - Toán giải tích (9460102)
    • TS - Phương trình vi phân và tích phân (9460103)

QUÁ TRÌNH NGHIÊN CỨU KHOA HỌC

Đề tài nghiên cứu khoa học

  • 2020-2022, Lý thuyết chính quy cho phương trình đạo hàm riêng, ĐT cấp Nhà nước
  • 2023, Phương pháp năng lượng và bất đẳng thức Hardy áp dụng cho phương trình nhiệt với thành phần khuếch tán có dạng phi địa phương , ĐT cấp bộ

Công trình khoa học đã công bố

  • 2024, Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces, Advanced Nonlinear Studies 2023; 23: 20220080
  • 2023, Hardy operators and commutators on generalized central function spaces, MATHEMATICAL INEQUALITIES & APPLICATIONS, Volume 25, Number 4
  • 2023, On the existence of solutions to a general mean field equation of nonlinear diffusion with the Newtonian potential pressure, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.
  • 2023, Hardy-Sobolev Inequalities with Dunkl Weights, Acta Mathematica Vietnamica
  • 2023, Energy and Large Time Estimates for Nonlinear Porous Medium Flow with Nonlocal Pressure in R^N ,
  • 2023, Hardy-Sobolev Inequalities with Dunkl Weights, Acta Mathematica Vietnamica
  • 2022, GAGLIARDO–NIRENBERG AND SOBOLEV INTERPOLATION INEQUALITIES ON BESOV SPACES, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 150 (2022), 605-616
  • 2022, HARDY OPERATORS AND COMMUTATORS ON GENERALIZED CENTRAL FUNCTION SPACES, MATHEMATICAL INEQUALITIES & APPLICATIONS
  • 2022, Hardy Type Identities on R^{n-k}×(R_+)^k via Factorizations, Vietnam Journal of Mathematics
  • 2022, Hardy Type Identities on R^{n-k}×(R_+)^k via Factorizations,
  • 2021, Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type, Nonlinear Analysis 203 (2021) 112162
  • 2021, LOGARITHMICALLY IMPROVED REGULARITY CRITERIA FOR THE NAVIER-STOKES EQUATIONS IN HOMOGENEOUS BESOV SPACES, Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 89
  • 2021, EXTINCTION IN FINITE TIME OF SOLUTIONS TO FRACTIONAL PARABOLIC POROUS MEDIUM EQUATIONS WITH STRONG ABSORPTION, Electronic Journal of Differential Equations Vol. 2021 (2021), No. 29
  • 2021, Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type,
  • 2021, Hardy Factorization in Terms of Multilinear Calderón-Zygmund Operators using Morrey Spaces, Potential Analysis
  • 2021, Morrey boundedness and compactness characterizations of integral commutators with singular kernel on strictly pseudoconvex domains in C^n,
  • 2021, Cauchy integral commutators and Hardy factorization on Lorentz spaces, Journal of Mathematical Analysis and Applications, 498 (2021) 124926
  • 2021, Cauchy integral commutators and Hardy factorization on Lorentz spaces, Journal of Mathematical Analysis and Applications
  • 2021, Hardy factorization in terms of fractional commutators in Lorentz spaces, Frontiers of Mathematics in China
  • 2021, Commutators of Cauchy–Fantappiè Type Integrals on Generalized Morrey Spaces on Complex Ellipsoids, Journal of Geometric Analysis
  • 2021, Hardy Factorization in Terms of Multilinear Calder´ON–Zygmund Operators using Morrey Spaces, Potential Analysis
  • 2021, GAGLIARDO–NIRENBERG AND SOBOLEV INTERPOLATION INEQUALITIES ON BESOV SPACES, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • 2021, Hardy factorization in terms of fractional commutators in Lorentz spaces, Frontiers of Mathematics
  • 2021, EXTINCTION IN FINITE TIME OF SOLUTIONS TO FRACTIONAL PARABOLIC POROUS MEDIUM EQUATIONS WITH STRONG ABSORPTION, Electronic Journal of Differential Equations
  • 2021, LOGARITHMICALLY IMPROVED REGULARITY CRITERIA FOR THE NAVIER-STOKES EQUATIONS IN HOMOGENEOUS BESOV SPACES, Electronic Journal of Differential Equations
  • 2020, Fractional Sobolev inequalities revisited: the maximal function approach, RENDICONTI LINCEI - MATEMATICA E APPLICAZIONI
  • 2020, Energy and Large Time Estimates for Nonlinear Porous Medium Flow with Nonlocal Pressure in R^N ,
  • 2020, Fractional Sobolev inequalities revisited: the maximal function approach, Rendiconti Lincei. Matematica e Applicazioni
  • 2020, Instantaneous shrinking of the support of solutions to parabolic equations with a singular absorption,

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