A Decay Estimate for a Wave Equation with Trapping and a Complex Potential

作者:Andersson Lars; Blue Pieter*; Nicolas Jean Philippe
来源:International Mathematics Research Notices, 2013, (3): 548-561.
DOI:10.1093/imrn/rnr237

摘要

In this brief note, we consider a wave equation that has both trapping and a complex potential. For this problem, we prove a uniform bound on the energy and a Morawetz (or integrated local energy decay) estimate. The equation is a model problem for certain scalar equations appearing in the Maxwell and linearized Einstein systems on the exterior of a rotating black hole.

  • 出版日期2013