A logarithmic bound on the location of the poles of the scattering matrix

DOI10.1007/BF00252678zbMath0216.13002OpenAlexW1977544060MaRDI QIDQ2545958

Peter D. Lax, Ralph S. Phillips

Publication date: 1971

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00252678

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Hyperbolic equations and hyperbolic systems (35L99)

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Cites Work

• The acoustic equation with an indefinite energy form and the Schrödinger equation
• Analytic properties of the scattering matrix
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle
• A remark on the preceding paper of C. S. morawetz and D. ludwig
• Decaying modes for the wave equation in the exterior of an obstacle
• Boundary layers in the field scattered by a convex object at high frequencies
• Causality and Analyticity