Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully.

Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians, Paperback / softback Book

Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians Paperback / softback

Part of the Memoirs of the American Mathematical Society series

Paperback / softback

Description

We prove Strichartz estimates (both regular and reversed) for a scattering state to the wave equation with a charge transfer Hamiltonian in R3:?ttu ? ?u +m j=1 Vj (x ? vj t) u = 0. The energy estimate and the local energy decay of a scattering state are also established.

In order to study nonlinear multisoltion systems, we will present the inhomogeneous generalizations of Strichartz estimates and local decay estimates.

As an application of our results, we show that scattering states indeed scatter to solutions to the free wave equation.

These estimates for this linear models are also of crucial importance for problems related to interactions of potentials and solitons, for example, in [GC4].

Information

Other Formats

Information