Details

Autor(en) / Beteiligte

• Schenck, Emmanuel

Titel

Energy Decay for the Damped Wave Equation Under a Pressure Condition

Ist Teil von

• Communications in mathematical physics, 2010-12, Vol.300 (2), p.375-410

Ort / Verlag

Berlin/Heidelberg: Springer-Verlag

Erscheinungsjahr

2010

Link zum Volltext

Quelle

SpringerLink (Online service)

Beschreibungen/Notizen

• We establish the presence of a spectral gap near the real axis for the damped wave equation on a manifold with negative curvature. This result holds under a dynamical condition expressed by the negativity of a topological pressure with respect to the geodesic flow. As an application, we show an exponential decay of the energy for all initial data sufficiently regular. This decay is governed by the imaginary part of a finite number of eigenvalues close to the real axis.