Equipartition of energy in geometric scattering theory Academic Article

abstract

• In this note, we use an elementary argument to show that the existence and unitarity of radiation fields implies asymptotic partition of energy for the corresponding wave equation. This argument establishes the equipartition of energy for the wave equation on scattering manifolds, asymptotically hyperbolic manifolds, asymptotically complex hyperbolic manifolds, and the Schwarzschild spacetime. It also establishes equipartition of energy for the energy-critical semilinear wave equation on 3. 2014 Hebrew University Magnes Press.

authors

• Baskin, Dean

published proceedings

• Journal d'Analyse Mathmatique

author list (cited authors)

• Baskin, D.

citation count

• 0

complete list of authors

• Baskin, Dean

publication date

• January 2014

publisher

• Springer Nature  Publisher

published in

• Journal d'Analyse Mathematique  Journal

Digital Object Identifier (DOI)

• 10.1007/s11854-014-0023-8

start page

• 341

end page

• 353

volume

• 123

issue

• 1

URL

• http://dx.doi.org/10.1007/s11854-014-0023-8