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

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Publication:5250369
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DOI10.1093/imrn/rnr237zbMath1326.35038arXiv1107.4597OpenAlexW2054348183MaRDI QIDQ5250369

Pieter Blue, Lars Andersson, Jean-Philippe Nicolas

Publication date: 19 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4597


zbMATH Keywords

Fourier transform methodsenergy boundMorawetz estimationpseudodifferential refinements


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Maxwell equations (35Q61)


Related Items (5)

Hidden symmetries and decay for the wave equation on the Kerr spacetime ⋮ Decay of Maxwell fields on Reissner-Nordström-de Sitter black holes ⋮ A vector field method on the distorted Fourier side and decay for wave equations with potentials ⋮ Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior ⋮ Decay estimates for one-dimensional wave equations with inverse power potentials




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