Pei-Yong Wang

Pei-Yong Wang

Research interest(s)/area of expertise

Partial differential equations and harmonic analysis

Research

I have been working on the mathematical theories of degenerate and singular elliptic or parabolic partial differential equations and the free boundary problems. This study includes the existence, uniqueness, regularity and symmetric properties of a solution of a partial differential equation or a free boundary problem. These problems originate in physics and engineering and have seen application in science, engineering and economics.

Education

Ph.D. 1999, New York University

Selected publications

• Wang, P., Regularity of free boundaries of two-phase problems for fully nonlinear elliptic equations of second order.  Part 1: Lipschitz free boundaries are C1,α, Comm. Pure Appl. Math., Vol. LIII (2000), 799-810
• Lu, G. and Wang, P., Inhomogeneous Infinity Laplace Equation, Advances in Mathematics, Vol. 217, 4 (2008), 1838-1868
• Lu, G. and Wang, P., On the uniqueness of a solution of a two-phase free boundary problem, Journal of Functional Analysis, Vol.258(2010), 2817-2833
• Caffarelli, L.A. and Wang, P., A bifurcation phenomenon in a singularly perturbed one-phase free boundary problem of phase transition, Calculus of Variations and Partial Differential Equations, Vol 54, No.4 (2015), 3517-3529

Citation index

• ResearchGate

Courses taught by Pei-Yong Wang

Winter Term 2025 (future)

• MAT6600 - Complex Analysis

Winter Term 2024

• MAT6600 - Complex Analysis
• MAT2250 - Elementary Linear Algebra

Fall Term 2023

• MAT2020 - Calculus II
• MAT2030 - Calculus III

Winter Term 2023

• MAT2150 - Differential Equations and Matrix Algebra
• MAT5070 - Elementary Analysis

Fall Term 2022

• MAT2010 - Calculus I
• MAT2250 - Elementary Linear Algebra

Winter Term 2022

• MAT2150 - Differential Equations and Matrix Algebra
• MAT5610 - Introduction to Analysis II