Invariants of Isospectral Deformations and Spectral Rigidity

DOI10.1080/03605302.2011.641051zbMath1245.58015arXiv0906.0449OpenAlexW2088926376MaRDI QIDQ5389582

Peter J. Topalov, Georgi S. Popov

Publication date: 21 April 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0449

zbMATH Keywords

KAM theoryRobin boundary conditionFourier integral operatorsBirkhoff normal formsisospectral continuous deformations

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Isospectrality (58J53)

Related Items (5)

Dynamical spectral rigidity among \(\mathbb{Z}_2\)-symmetric strictly convex domains close to a circle ⋮ The wave trace and Birkhoff billiards ⋮ On the integral geometry of Liouville billiard tables ⋮ One can hear the shape of ellipses of small eccentricity ⋮ Inverse problems and rigidity questions in billiard dynamics

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