Documentation scienceplus.abes.fr version Bêta

À propos de : Stability of inverse source problem for a transmission wave equation with multiple interfaces of discontinuity        

AttributsValeurs
type
Is Part Of
Subject
License
Title
  • Stability of inverse source problem for a transmission wave equation with multiple interfaces of discontinuity
Date
has manifestation of work
related by
Author
Abstract
  • In this paper, we consider a transmission wave equation in N embedded domains with multiple interfaces of discontinuous coefficients in ℝ 2. We study the global stability in determining the source term from a one-measurement data of wavefield velocity in a subboundary over a time interval. We prove the stability estimate for this inverse source problem by a combination of the local hyperbolic/elliptic Carleman estimates and the Fourier-Bros-Iagolniter transformation. Our method could be generalized to general dimensions since the weight functions and Carleman estimates are independent of the dimensions.
article type
publisher identifier
  • cocv210237
Date Copyrighted
Rights
  • © The authors. Published by EDP Sciences, SMAI 2023
Rights Holder
  • The authors. Published by EDP Sciences, SMAI
is part of this journal
is primary topic of



Alternative Linked Data Documents: ODE     Content Formats:       RDF       ODATA       Microdata