Larry Lung-Kee Chen
Professor
| Contact | Address | |
|---|---|---|
|
Office: Kidd 286 Phone: 737-5142 Fax: 737-0517 Email: chen@math.orst.edu |
Department of
Mathematics Oregon State University Corvallis, OR 97331-4605, USA |
Office hours:
Not teaching, Fall term 2009.
Education:
Ph.D., The University of Chicago, 1986
M.S. The University of Chicago, 1986
Research
Research Field: Harmonic Analysis, Control Theory, Application of Probability on Partial Differential Equations
The study of Harmonic Analysis provides the foundation for the theory of partial differential equations, several complex variables, and harmonic analysis related to semisimple Lie groups and symmetric spaces.
I am interested in four topics in harmonic analysis: (1) singular integral operators; (2) multiplier operators; (3) weighted inequalities for operators; (4) the convergence of the Fourier series in higher dimensional Euclidean spaces. In control theory, I study the stability of nonlinear systems. Results are general and include time variant parameters. While the theorems do not generally provide necessary conditions, they are relatively simple to apply and do not require the development of a Liapunov function. Some of these theorems have been applied to study the spread of tuberculosis. Currently, I am interested in the existence, uniqueness and regularity of solutions to the Navier-Stokes equations.
Research Group Link(s): Analysis Probability