Gravity trapping on a finite thickness domain wall: an analytic studyWe construct an explicit model of the gravity trapping domain-wall potential, where for the first time we can study explicitly the graviton wave function fluctuations for any thickness of domain wall....
On the energy critical schrodinger equation in 3d non-trapping domains...3.1.2, corrected some typos), 34 pagesWe prove that the quintic Schrodinger equation with Dirichlet boundary conditions is locally well posed for H^{1}_{0} data on any smooth, non-trapping domain of R^3....
Global existence for defocusing cubic nls and gross-pitaevskii equations in three dimensional exterior domains... We prove global wellposedness in the energy space of the defocusing cubic nonlinear Schrödinger and Gross-Pitaevskii equations on the exterior of a non-trapping domain in dimension 3....
Global existence for defocusing cubic nls and gross-pitaevskii equations in three dimensional exterior domainsWe prove global wellposedness in the energy space of the defocusing cubicnonlinear Schroedinger and Gross-Pitaevskii equations on the exterior of anon-trapping domain in dimension 3....
