Scattering Theory for the Acoustic Wave Equation in an Arbitrary Exterior Domain

Abstract

In this report the authors studied the spectral theory of the operator that is induced from problems in the n-dimensional Euclidean space (either in the exterior domain or in the whole space) for the hyperbolic linear partial-differential equations with the generalized Neumann boundary condition. The resulting theory provides a foundation for studying the wave operator and scattering operator involved in scattering theory and possibly also for studying the respective inverse problem.

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Document Details

Document Type
Technical Report
Publication Date
Aug 30, 1976
Accession Number
ADA030881

Entities

People

  • Chen Yang
  • K. H. Chen

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Waves
  • Boundary Value Problems
  • Calculus
  • Continuous Spectra
  • Eigenvalues
  • Equations
  • Hilbert Space
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Mathematics
  • Military Research
  • Scattering
  • Square Roots
  • Theorems
  • Wave Equations
  • Wave Propagation

Readers

  • Linear Algebra
  • Plasma Physics / Magnetohydrodynamics
  • Theoretical Analysis.

Technology Areas

  • Space