We examine a variant of the integrated local energy estimate for
-dimensional
Dirichlet wave equations exterior to star-shaped obstacles. The classical
bound on the solution, rather than the derivative, is not typically
available in two spatial dimensions. Using an argument inspired by the
-weighted
method of Dafermos and Rodnianski and taking advantage of the Dirichlet boundary
conditions allow for the recovery of such a term when the initial energy is
appropriately weighted.
PDF Access Denied
We have not been able to recognize your IP address
216.73.216.205
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.