The boundary expansion of degenerate elliptic PDEs and its application to complex geometry
Location: Hill 705
Date & time: Tuesday, 13 September 2016 at 1:40PM -
We introduce the boundary expansion or polyhomogeneity for solutions to different types of degenerate elliptic PDEs. Examples in complex geometry indicate eigenvalue problems may appear. We will talk about why the eigenvalue problems show up and how it affects the expansion and the convergence of the solutions.