A decay estimate for a wave equation with trapping and a complex potential
classification
🧮 math.AP
gr-qc
keywords
equationcomplexdecayenergyestimatepotentialproblemtrapping
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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 linearised Einstein systems on the exterior of a rotating black hole.
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