- 1988 Ph.D., London University
- 1983 B.S., Imperial College, London University, Mathematics
- MATH 1700 Calculus II
- MATH 4100 Differential Equations
Dr. Michael Pang's research focuses on spectral properties of linear second order elliptic operators. These include heat kernel bounds, Lp properties of singular elliptic operators, eigenfunctions of the Dirichlet Laplacians defined on regions with fractal boundaries, elliptic operators defined on graphs, and the hot spots conjecture. Most recently he has been interested in problems related to perturbations of eigenspaces of Dirichlet Laplacians caused by perturbations of the regions.
The heat kernel of the Laplacian defined on a uniform grid, Semigroup Forum, Vol 78(2008), 238-252.
Stability and approximations of eigenvalues and eigenfunctions for the Neumann Lapla- cian, Part 3, Elect. J. Diff. Equations, Vol. 2011(2011), no. 100, 1-54.