The propagation of singularities along gliding rays

1977/10/01 by K. G. Andersson, Karl Gustav Andersson, R. B. Melrose +1 · 132 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Boundary (topology) #Differential operator #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Gravitational singularity #Mathematical analysis #Mathematics #Operator (biology) #Spectral Theory in Mathematical Physics

paper · doi:10.1007/bf01403048

published in Inventiones mathematicae 41(3), 197-232 (Springer Science+Business Media)

openalex publication_date 1977/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• Grazing rays and reflection of singularities of solutions to wave equations
• Reflection of singularities of solutions to systems of differential equations
• Fourier integral operators. II

Cited by

• Dynamical Spectral rigidity among \mathbb Z₂-symmetric strictly convex domains close to a circle
• Deformational spectral rigidity of axially-symmetric symplectic billiards
• Robin spectral rigidity of strictly convex domains with a reflectional symmetry
• Singularities of the wave trace near cluster points of the length spectrum
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• On conjugacy of convex billiards
• Singularities of boundary value problems. II
• On the local Birkhoff conjecture for convex billiards
• Spectral determination of analytic bi-axisymmetric plane domains