Grazing rays and reflection of singularities of solutions to wave equations

1976/01/01 by Michael E. Taylor · 9 citations
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #Advanced Numerical Methods in Computational Mathematics

paper · doi:10.1002/cpa.3160290102

Citations

• Reflection of singularities of solutions to systems of differential equations
• Fourier integral operators. II

Cited by

• Singularities of boundary value problems. I
• The propagation of singularities along gliding rays
• Diffraction of singularities for the wave equation on manifolds with\n corners
• Sharp high-frequency estimates for the Helmholtz equation and\n applications to boundary integral equations
• The wave equation on asymptotically Anti-de Sitter spaces
• A Grazing Gaussian Beam
• Global Strichartz estimates for nontrapping perturbations of the Laplacian
• The Glassey conjecture for nontrapping obstacles
• Diffraction at corners for the wave equation on differential forms