Band edge localization and the density of states for acoustic and electromagnetic waves in random media
Bilinear virial identities and applications
We prove bilinear virial identities for the nonlinear Schrödinger equation, which are extensions of the Morawetz interaction inequalities. We recover and extend known bilinear improvements to Strichartz inequalities and provide applications to various nonlinear problems, most notably on domains with boundaries.
Bound states and propagating states for time-dependent hamiltonians
Bound states and scattering states for time periodic hamiltonians