• La Universidad
    • Historia
    • Rectoría
    • Autoridades
    • Secretaría General
    • Pastoral UC
    • Organización
    • Hechos y cifras
    • Noticias UC
  • 2011-03-15-13-28-09
  • Facultades
    • Agronomía e Ingeniería Forestal
    • Arquitectura, Diseño y Estudios Urbanos
    • Artes
    • Ciencias Biológicas
    • Ciencias Económicas y Administrativas
    • Ciencias Sociales
    • College
    • Comunicaciones
    • Derecho
    • Educación
    • Filosofía
    • Física
    • Historia, Geografía y Ciencia Política
    • Ingeniería
    • Letras
    • Matemáticas
    • Medicina
    • Química
    • Teología
    • Sede regional Villarrica
  • 2011-03-15-13-28-09
  • Organizaciones vinculadas
  • 2011-03-15-13-28-09
  • Bibliotecas
  • 2011-03-15-13-28-09
  • Mi Portal UC
  • 2011-03-15-13-28-09
  • Correo UC
- Repository logo
  • English
  • Català
  • Čeština
  • Deutsch
  • Español
  • Français
  • Gàidhlig
  • Latviešu
  • Magyar
  • Nederlands
  • Polski
  • Português
  • Português do Brasil
  • Suomi
  • Svenska
  • Türkçe
  • Қазақ
  • বাংলা
  • हिंदी
  • Ελληνικά
  • Yкраї́нська
  • Log in
    Log in
    Have you forgotten your password?
Repository logo
  • Communities & Collections
  • All of DSpace
  • English
  • Català
  • Čeština
  • Deutsch
  • Español
  • Français
  • Gàidhlig
  • Latviešu
  • Magyar
  • Nederlands
  • Polski
  • Português
  • Português do Brasil
  • Suomi
  • Svenska
  • Türkçe
  • Қазақ
  • বাংলা
  • हिंदी
  • Ελληνικά
  • Yкраї́нська
  • Log in
    Log in
    Have you forgotten your password?
  1. Home
  2. Browse by Author

Browsing by Author "Canulef-Aguilar, Victor"

Now showing 1 - 1 of 1
Results Per Page
Sort Options
  • No Thumbnail Available
    Item
    HOLDER ESTIMATES FOR THE NEUMANN PROBLEM IN A DOMAIN WITH HOLES AND A RELATION FORMULA BETWEEN THE DIRICHLET AND NEUMANN PROBLEMS
    (2020) Canulef-Aguilar, Victor; Henao, Duvan
    In this paper we study the dependence of the Holder estimates on the geometry of a domain with holes for the Neumann problem. For this, we study the Holder regularity of the solutions to the Dirichlet and Neumann problems in the disk (and in the exterior of the disk), from which we get a relation between harmonic extensions and harmonic functions with prescribed Neumann condition on the boundary of the disk (for both interior and exterior problems). A novelty of this work is that we deal directly with the Holder regularity of the single layer potentials of the Dirichlet and Neumann problems for the Poisson equation, something that most of the times seems to be avoided by studying the Newtonian potential.

Bibliotecas - Pontificia Universidad Católica de Chile- Dirección oficinas centrales: Av. Vicuña Mackenna 4860. Santiago de Chile.

  • Cookie settings
  • Privacy policy
  • End User Agreement
  • Send Feedback