معرفی
Lihe Wang is a Professor in the Department of Mathematics at the University of Iowa. His research primarily focuses on theoretical analysis of partial differential equations (PDEs), with emphasis on elliptic and parabolic equations, regularity theory, and nonlinear phenomena. He investigates boundary behavior, classification of solutions, and geometric properties of PDEs in diverse settings, including unbounded domains and degenerate systems.
His work spans:
- Regularity theory for elliptic/parabolic equations
- Boundary estimates (Lipschitz continuity, differentiability)
- Fully nonlinear and degenerate PDEs
- Homogenization and non-divergence form equations
- Geometric analysis via De Giorgi methods
Analysis of his 15 most recent publications (2018–2025) reveals consistent focus on:
- Advanced regularity techniques for Navier-Stokes, semilinear, and fully nonlinear equations
- Classification of solutions in unbounded domains
- Novel approaches to boundary behavior and dimensional estimates
- Applications of variational methods and nonlocal operators
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