4 citations · 4 across the 4 of their papers we have counts for
5 papers · 1 filter
Strichartz estimates on exterior polygonal domains
Dean Baskin, Jeremy L. Marzuola, Jared Wunsch
Using a new local smoothing estimate of the first and third authors, we prove local-in-time Strichartz and smoothing estimates without a loss exterior to a large class of polygonal…
Some global aspects of linear wave equations
Dean Baskin, Rafe Mazzeo
This paper surveys a few aspects of the global theory of wave equations. This material is structured around the contents of a minicourse given by the second author during the CMI/E…
Resolvent estimates and local decay of waves on conic manifolds
Dean Baskin, Jared Wunsch
We consider manifolds with conic singularites that are isometric to outside a compact set. Under natural geometric assumptions on the cone points, we prove the exi…
Equipartition of energy in geometric scattering theory
Dean Baskin
In this note, we use an elementary argument to show that the existence and unitarity of radiation fields implies asymptotic partition of energy for the corresponding wave equation.…
Radiation fields for semilinear wave equations
Dean Baskin, Antônio Sá Barreto
We define the radiation fields of solutions to critical semilinear wave equations in R^3 and use them to define the scattering operator. We also prove a support theorem for the rad…