Partial Differential Equations on Non-Compact Manifolds

Organizers: Juan Gil, Anna Mazzucato, and Victor Nistor

Preliminary Schedule

SATURDAY
9:00-9:50  D. Grieser Uniform bounds for eigenfunctions of the Laplacian
10:00-10:50  E. Hunsicker L^2 Hodge theorems for manifolds with fibration boundaries
COFFEE BREAK
11:10-12:00  P. Loya Fredholm perturbations of Dirac operators on manifolds with corners
12:10-1:00  G. Mendoza Subelliptic boundary value problems on manifolds with conical singularities
LUNCH
2:30-3:20  G. Verchota The Neumann problem in four dimensions
3:30-4:20  M. Dindos Large solutions for Yamabe and similar problems on domains in Riemannian manifolds
COFFEE BREAK
4:40-5:30  M. Mitrea General elliptic and parabolic transmission boundary value problems in nonsmooth manifolds
5:40-6:30  T. Iwaniec Weakly differentiable mappings between manifolds

SUNDAY
9:00-9:50  A. Greenleaf The Calderón problem for conormal potentials
10:00-10:50  X. Xu Gradient estimates for eigenfunctions of Riemannian manifolds with boundary and Hörmander multiplier theorem
COFFEE BREAK
11:10-12:00  T. Jeffres Regularity of the heat operator on a cone
12:10-1:00  P. McDonald  Relative determinants and analytic torsion for conic manifolds