Sommerfeld's formula and uniqueness for the boundary value contact problems

I. V. Andronov, B. P. Belinskiy

Research output

2 Citations (Scopus)

Abstract

The expression of the acoustic field scattered on an infinite elastic plate with an arbitrary compact inhomogeneity in terms of the analytic continuation of its scattering diagram is found. This formula allows the uniqueness of the solution for the scattering problem to be proved. The connection of the formula with the Rayleigh hypothesis is discussed.

Original languageEnglish
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number22
DOIs
Publication statusPublished - 5 Jun 1998

Fingerprint

uniqueness
Contact Problem
Boundary Value
Uniqueness
Scattering
elastic plates
Elastic Plate
Analytic Continuation
Acoustic fields
Scattering Problems
scattering
Inhomogeneity
Rayleigh
Acoustics
inhomogeneity
Diagram
diagrams
acoustics
Arbitrary

Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

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