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Quantification of the unique continuation property for the heat equation

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  • معلومة اضافية
    • Contributors:
      Propagation des Ondes : Étude Mathématique et Simulation (POEMS); Inria Saclay - Ile de France; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Unité de Mathématiques Appliquées (UMA); École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Centre National de la Recherche Scientifique (CNRS)
    • بيانات النشر:
      HAL CCSD
      AIMS
    • الموضوع:
      2017
    • Collection:
      ENSTA ParisTech, Université Paris-Saclay: HAL (École Nationale Supérieure de Techniques Avancées)
    • نبذة مختصرة :
      International audience ; In this paper we prove a logarithmic stability estimate in the whole domain for the solution to the heat equation with a source term and lateral Cauchy data. We also prove its optimality up to the exponent of the logarithm and show an application to the identification of the initial condition and to the convergence rate of the quasi-reversibility method.
    • Relation:
      hal-01648045; https://inria.hal.science/hal-01648045; https://inria.hal.science/hal-01648045/document; https://inria.hal.science/hal-01648045/file/article_mcrf_multi_rev2.pdf
    • الرقم المعرف:
      10.3934/mcrf.2017012
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.219B039C