Stability of the determination of a coefficient for wave equations in an infinite waveguide
type: Dataset
description: We consider the stability in the inverse problem consisting in the determination of an electric potential $q$, appearing in a Dirichlet initial-boundary value problem for the wave equation $\partial_t^2u-\Delta u+q(x)u=0$ in an unbounded wave guide $\Omega=\omega\times\R$ with $\omega$ a bounded smooth domain of $\R^2$, from boundary observations. The observation is given by the Dirichlet to Neumann map associated to a wave equation. We prove a Hölder stability estimate in the determination of $q$ from the Dirichlet to Neumann map. Moreover, provided that the gap between two electric potentials rich its maximum in a fixed bounded subset of $\overline{\Omega}$, we extend this result to the same inverse problem with measurements on a bounded subset of the lateral boundary $(0,T)\times\partial\Omega$.
landing page: 1930-8337
keyword: 35r30-35l20
keyword: equation-des-ondes
keyword: guide-donde
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: problemes-inverses
issued: 2026-05-11T01:54:07.209025
modified: 2026-05-11T01:54:07.209029
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Stability of the determination of a coefficient for wave equations in an infinite waveguide
type: Distribution
format: HTML
access URL: https://hal.science/hal-00824508
issued: 2026-05-11T01:54:07.217855
modified: 2026-05-11T01:54:07.198566