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math.APJan 23, 2020
8
citations (OpenAlex)
authors
  • Rohit Kumar Mishra
  • Manmohan Vashisth
institutions
  • Beijing Computational Science Research Center
  • The University of Texas at Arlington
arXiv abstractPDF
paper

Determining the time dependent matrix potential in a wave equation from partial boundary data

arXiv:2001.08380 · doi:10.1080/00036811.2020.1721476

Abstract

We study the inverse problem for determining the time-dependent matrix potential appearing in the wave equation. We prove the unique determination of potential from the knowledge of solution measured on a part of the boundary.

References in corpus (7)

  • A new approach to hyperbolic inverse problems
  • The Inverse Problem for the Dirichlet-to-Neumann map on Lorentzian manifolds
  • Stability estimate for hyperbolic inverse problem with time dependent coefficient
  • Unique determination of a time-dependent potential for wave equations from partial data
  • A new approach to hyperbolic inverse problems II (Global step)
  • An inverse problem for the relativistic Schrödinger equation with partial boundary data
  • Inverse boundary value problems for systems of partial differential equations

Cited by in corpus (1)

  • Stability estimate for a partial data inverse problem for the convection-diffusion equation
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