Li Chen

Assistant Professor

Louisiana State University

United States

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Li Chen is an Assistant Professor at Louisiana State University. His research focuses on heat kernel estimates, fractional Gaussian fields, and regularity problems associated with elliptic operators. Recent articles highlight his work in Sobolev spaces and multipliers, particularly related to fractals and Lie groups. Based in the United States, he contributes significantly to the field of mathematical analysis.

Articles (11)

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2024

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2023

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2023

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2023

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2023

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2022

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2022

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2022

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2022

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2021

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2020

Collaborators (4)

Nageswari Shanmugalingam

Professor

University of Cincinnati

UNITED STATES

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Alexander Teplyaev

Professor

University of Connecticut

UNITED STATES

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Fabrice Baudoin

Professor

University of Connecticut

UNITED STATES

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Patricia Alonso Ruiz

Assistant Professor

Texas A&M University

UNITED STATES

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Li Chen

Research Interests

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Contact this professor

About

Articles (11)

Heat kernel gradient estimates for the Vicsek set

Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations

BV FUNCTIONS AND FRACTIONAL LAPLACIANS ON DIRICHLET SPACES

The regularity problem for degenerate elliptic operators in weighted spaces

The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces

A note on second order Riesz transforms in 3-dimensional Lie groups

Sobolev spaces and Poincaré inequalities on the Vicsek fractal,Sobolev spaces and Poincaré inequalities on the Vicsek fractal

Sobolev spaces and Poincaré inequalities on the Vicsek fractal

The regularity problem for degenerate elliptic operators in weighted spaces

Multiplier theorems via martingale transforms

Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities

Collaborators (4)

Nageswari Shanmugalingam

Alexander Teplyaev

Fabrice Baudoin

Patricia Alonso Ruiz

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