Inverse Boundary Value Problems and a Theorem of Gel'fand and Levitan.

Abstract

This report concerns two so-called inverse problems of mathematical physics. These are: the problem of determining a second-order differential operator (in a normal form) on the half-axis from its spectral function, and, the problem of determining a hyperbolic boundary value problem of a special form in a (non-characteristic) half-plane from its response on the boundary to a unit impulse at some reference time t=o (boundary value of the Riemann function).

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA060659

Entities

People

  • W. Symes

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Value Problems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Mathematics
  • Notation
  • Perturbations
  • Physics
  • Topology
  • United States
  • Volterra Equations
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis