Aarhus University Seal / Aarhus Universitets segl

Sommerfeld radiation condition at threshold

Publikation: Working paperForskning

Dokumenter

  • Institut for Matematiske Fag
We prove Besov space bounds of the resolvent at low energies in any dimension for a class of potentials that are negative and obey a virial condition with these conditions imposed at infinity only. We do not require spherical symmetry. The class of potentials includes in dimension ≥ 3 the attractive Coulomb potential. There are two boundary values of the resolvent at zero energy which we characterize by radiation conditions. These radiation conditions are zero energy versions of the well-known Sommerfeld radiation condition.
OriginalsprogEngelsk
UdgiverAarhus University, Department of Mathematical Sciences
Antal sider24
StatusUdgivet - 22 jun. 2011

Se relationer på Aarhus Universitet Citationsformater

Download-statistik

Ingen data tilgængelig

ID: 42097068