Applied/PDE Seminar: Wenjun Ying (Shanghai Jiaotong U.), 'Potential theory for the variable coefficient PDE'

Event Date: 

Friday, February 8, 2013 -
4:15pm to 5:15pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Carlos Garcia-Cervera

Email: cgarcia@math.ucsb.edu

Potential theory for the constant coefficient PDE such as the Laplace equation is well-known and can be easily found in most standard PDE textbooks. However, potential theory for the variable coefficient PDE is much less well-known and often ignored. In this talk, I will derive some basic facts of the potential theory, including the continuity/discontinuity and spectrum properties of the single and double layer potentials. I will also discuss application of the potential theory for variable coefficient PDEs.