Resonance free regions for nontrapping manifolds with cusps

DOI10.2140/apde.2016.9.907zbMath1394.58013arXiv1210.7736OpenAlexW3102418581MaRDI QIDQ2631321

Kiril Datchev

Publication date: 29 July 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7736

zbMATH Keywords

cuspwavesresolventscatteringresonancegluingtrappingpropagation of singularities

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Wave equation (35L05) PDEs in connection with quantum mechanics (35Q40) Resonance in context of PDEs (35B34) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (4)

Spectral gaps, additive energy, and a fractal uncertainty principle ⋮ Distribution of resonances for analytic asymptotically hyperbolic spaces ⋮ Mathematical study of scattering resonances ⋮ Inverse resonance scattering on rotationally symmetric manifolds

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