Personal profile: Lê Xuân Trường

Lê Xuân Trường

Phó Giáo sư Tiến sĩ Toán giải tích

Giảng viên cao cấp - KTLQLNN - Khoa Toán - Thống kê

Email: lxuantruong@ueh.edu.vn

Điện thoại: 0985120332

LĨNH VỰC ĐÀO TẠO - NGHIÊN CỨU

Tiến sĩ
- TS - Toán học (94601)
  - TS - Toán giải tích (9460102)

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
2020, Lý thuyết chính quy cho một số lớp phương trình đạo hàm riêng trong khoa học ứng dụng, ĐT cấp Nhà nước
2019, Giải tích điều hoà và phương trình đạo hàm riêng, ĐT cấp Nhà nước
2019, Phương trình tiến hoá dạng p-Laplace với nguồn phi tuyến: nghiệm toàn cục và tính chất bùng nổ, ĐT cấp bộ
2018, CS-2017-79, ĐT cấp trường
2017, Cấu trúc tô pô của tập nghiệm của một lớp phương trình tiến hóa CS-2016-36, ĐT cấp trường
2016, Áp dụng lý thuyết bậc coincidence vào một lớp bài toán biên phi tuyến, ĐT cấp trường

Công trình khoa học đã công bố

2025, Viability for impulsive stochastic differential inclusions driven by fractional Brownian motion, Stochastics and Dynamics
2025, Calderón-Zygmund estimates for Schrödinger equations revisited,
2025, Renormalized solutions for a non-local evolution equation with variable exponent, Fractional Calculus and Applied Analysis
2025, Stability of semigroups generated by degenerate elliptic operators, Hokkaido Mathematical Journal
2025, On a wave equation with mixed dynamic boundary conditions,
2025, Riesz transforms for bi-Schrödinger operators on weighted Lebesgue spaces, Journal of Mathematical Analysis and Applications
2025, Global Hessian estimate for second-order elliptic equation in Hardy spaces, Ricerche di Matematica
2024, Renormalized solutions to a parabolic equation with mixed boundary constraints, Dissertationes Mathematicae
2024, A new class of weights associated with Schrödinger operator on Heisenberg groups and applications, Analysis and Mathematical Physics
2024, On Global Solution for a Class of p(x)-Laplacian Equations with Logarithmic Nonlinearity, Mediterranean Journal of Mathematics
2024, Small time characterization of heat kernels in a weighted setting, Monatshefte für Mathematik
2024, Uniqueness of second-order elliptic operators with unbounded and degenerate coefficients in L1-spaces, Quaestiones Mathematicae
2023, A-priori bound and Holder continuity of solutions to degenerate elliptic equations with variable exponents, Topological Methods in Nonlinear Analysis
2023, On a viscoelastic heat equation with logarithmic nonlinearity, Electronic Journal of Qualitative Theory of Differential Equations
2023, Kato’s inequality for the strong -Laplacian, Studia Mathematica
2023, Hölder continuity of solutions for a class of drift-diffusion equations, Discrete and Continuous Dynamical Systems (Series A)
2023, Calderón–Zygmund estimates for a parabolic Schrodinger system on Reifenberg domains, Mathematical Methods in the Applied Sciences
2023, Asymptotic behavior of solutions for a new general class of parabolic Kirchhoff type equation with variable exponent sources, Journal of Mathematical Analysis and Applications
2023, On a thermo-viscoelastic system with variable exponent sources, Nonlinear Analysis: Real World Applications
2022, Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data, Advanced Nonlinear Studies
2022, Global weighted regularity estimates for higher-order elliptic and parabolic systems, Mathematical Methods in the Applied Sciences
2021, Regularity of solutions for a class of quasilinear elliptic equations related to Caffarelli-Kohn-Nirenberg inequality, Journal of Mathematical Analysis and Applications
2021, Global Lorentz gradient estimates for quasilinear equations with measure data for the strongly singular case 1 < p < (3n-2)/(2n-1), Communications in Contemporary Mathematics
2021, Stable and unstable sets for damped nonlinear wave equations with variable exponent sources, Journal of Mathematical Physics
2021, Boundedness of second-order Riesz transforms on weighted Hardy and $ BMO $ spaces associated with Schrödinger operators, Comptes Rendus. Mathématique
2021, Coincidence of weighted Hardy spaces associated with higher-order Schrödinger operators, Bulletin des Sciences Mathématiques
2019, On fractional differential inclusions with nonlocal boundary conditions, Fractional Calculus and Applied Analysis
2019, The Nehari manifold for fractional Laplacian equation with logarithmic nonlinearity on whole space, Computers & Mathematics with Applications
2018, Riesz Transforms and Littlewood-Paley square function associated to Schrodinger operators on new weighted spaces, Journal of the Australian Mathematical Society - Volume 105, Issue 2
2017, Global Solution and Blow-up for a Class of p-Laplacian Evolution Equations with Logarithmic Nonlinearity, Acta Applicandae Mathematicae October 2017, Volume 151, Issue 1, pp 149–169
2017, Global solution and blow-up for a class of pseudo p-Laplacian evolution equations with logarithmic nonlinearity, Computers & Mathematics with Applications
2016, On a class of nonlinear heat equations with viscoelastic term, Computers & Mathematics with Applications