Eigenfunctions for Partially Rectangular Billiards

DOI10.1080/03605300500532939zbMath1127.35029arXivmath/0409579OpenAlexW2003444384MaRDI QIDQ5478769

Jeremy L. Marzuola

Publication date: 13 July 2006

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

Full work available at URL: https://arxiv.org/abs/math/0409579

zbMATH Keywords

semiclassical analysismicrolocal defect measuresnonconcentrationpseudointegrable billiards

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (5)

Eigenfunction Concentration for Polygonal Billiards ⋮ Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media ⋮ Semiclassical measures for the Schrödinger equation on the torus ⋮ Polyhedral billiards, eigenfunction concentration and almost periodic control ⋮ Spreading of quasimodes in the Bunimovich stadium

Cites Work

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• Ergodic properties of eigenfunctions for the Dirichlet problem
• Refraction of high-frequency waves density by sharp interfaces and semiclassical measures at the boundary
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Singularities of boundary value problems. I
• Note on quantum unique ergodicity
• Quantum unique ergodicity
• Bouncing Ball Modes and Quantum Chaos

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