Strichartz Estimates on Exterior Polygonal Domains [unknown]

Dean Baskin, Jeremy Marzuola, Jared Wunsch
2014 Contemporary Mathematics   unpublished
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 obstacles with arbitrary boundary conditions and global-in-time Strichartz estimates without a loss exterior to a large class of polygonal obstacles with Dirichlet boundary conditions. In addition, we prove a global-in-time local smoothing estimate in exterior wedge domains with Dirichlet boundary conditions and
more » ... conditions and discuss some nonlinear applications.
doi:10.1090/conm/630/12671 fatcat:7volzcfusvayfjmncp5diacrdi