Evolution Equations on Singular Spaces
April 25-29, 2016
The meeting will focus on the behavior of waves in the presence of singular structures, ranging from boundaries to corners, edges, cones, and cusps. Among other subtleties introduced into the propagation of wavefronts, the phenomenon of diffraction is of central importance and has considerable mathematical interest. The meeting will bring together researchers from a number of areas, including both elliptic and hyperbolic partial differential equations as well as applied mathematics and numerical analysis.

Scientific & Organizing Committee

Dean Baskin (Texas A&M University)
Luc Hillairet (Université d’Orléans)
Jared Wunsch (Northwestern University)


Lp bounds on eigenfunctions of the Laplacian on polygonal domains

Magnetic Laplacian in singular domains

Decay for the damped wave equation in unbounded domains

Hybrid Asymptotic-Numerical Integral Equation Methods for
High Frequency Scattering
– Part. 1

A Quantum Sabine Law for Resonances in Transmission Problems

The Feynman Propagator on Asymptotically Minkowski Spaces.

Correspondence between Ruelle resonances and quantum resonances for
non-compact Riemann surfaces

Regularity of waves at the Cauchy horizon of black hole spacetimes

Dispersion estimates for the wave and the Schrodinger equations out-
side strictly convex obstacle

Triangles in the hyperbolic plane with no positive Neumann eigenvalues

On the holomorphic extension of the Poisson Kernel

Mixed-boundary-value and transmission problems on generalized polyhedral domains

The wave equation on Weil-Petersson spaces

Ground state energy of the Robin Laplacian in corner domains

A Polyakov formula for angular variations

The porous medium equation on manifolds with conical singularities

Hybrid Asymptotic-Numerical Integral Equation Methods for High Fre-
quency Scattering – Part. 2

Asymptotics of radiation fields on long-range asymptotically Minkowski spaces

Ricci Flow on singular edge manifolds

Asymptotic behavior of the interior transmission eigenvalues