The wave equation on a cone

DOI10.1080/03605308208820223zbMath0501.58037OpenAlexW2032439467MaRDI QIDQ3966821

Morris Kalka, A. Menikoff

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/03605308208820223

zbMATH Keywords

Laplace-Beltrami operatorparametrix for the wave operator

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items

Propagation, reflection and refraction of singularities for a hyperbolic transmission problem in two adjacent angular regions, Resolvents and complex powers of semiclassical cone operators, Asymptotic properties of the heat kernel on conic manifolds, Contribution of periodic diffractive geodesics

Cites Work

• The spectrum of positive elliptic operators and periodic bicharacteristics
• On the eigenvalues of a class of hypoelliptic operators
• The spectral function of an elliptic operator
• Fourier integral operators. I
• Fourier integral operators. II
• On the diffraction of waves by conical singularities. II
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
• On the spectral geometry of spaces with cone-like singularities