Global Uniqueness for a Coefficient Inverse Problem for the Non-Stationary Transport Equation via Carleman Estimate

Abstract

A coefficient inverse problem for the non-stationary single-speed transport equation for t-(0,T) with the lateral boundary data and initial condition at t=0 is considered. Global uniqueness result is obtained via the method of Carleman estimates.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2006
Accession Number
ADA448486

Entities

People

  • Michael Klibanov
  • Sergey E. Pamyatnykh

Organizations

  • University of North Carolina at Charlotte

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Absorption Coefficients
  • Boltzmann Equation
  • Boundaries
  • Cauchy Problem
  • Coefficients
  • Differential Equations
  • Electronic Mail
  • Equations
  • Inequalities
  • Integrals
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Partial Differential Equations
  • Stationary
  • Transport Ships

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers