An Inverse Problem with Single Measurement Generated by a Plane Wave

Abstract

Global uniqueness of inverse problem for a hyperbolic PDE with the unknown potential and a single incident plane wave is a well known long standing open question. This question is addressed for the case when derivatives with respect to variables orthogonal to this plane wave are expressed via finite differences.

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Document Details

Document Type
Technical Report
Publication Date
May 03, 2011
Accession Number
ADA544677

Entities

People

  • Michael Klibanov

Organizations

  • University of North Carolina at Charlotte

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Absorption Coefficients
  • Abstracts
  • Banach Space
  • Coefficients
  • Equations
  • Frequency Domain
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Measurement
  • Military Research
  • North Carolina
  • Plane Waves
  • Three Dimensional
  • Waves

Fields of Study

  • Mathematics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)