Michael Pang

Michael Pang
Professor
Michael Pang
Research Interests: 
Address: 
122A Mathematical Sciences Building
Phone Number: 
573-882-0322
Office Hours: 

Monday, 12:00– 12:45 pm, or by appointment

Education: 
  • 1988 Ph.D., London University
  • 1983 B.S., Imperial College, London University, Mathematics
Frequently Taught Courses: 
  • MATH 1700 Calculus II
  • MATH 4100 Differential Equations
Research Interests: 

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.

Select Publications: 

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.