Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary

• Vladimir Kozlov ^[1] ; Vladimir Maz'ya ^[1]
  1. [1] Linköping University

     Linköping University

     Linköpings S:t Lars, Suecia

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 2, Nº 3, 2003, págs. 551-600
• Idioma: inglés
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• Resumen

  • We derive an asymptotic formula of a new type for variational solutions of the Dirichlet problem for elliptic equations of arbitrary order. The only a priori assumption on the coefficients of the principal part of the equation is the smallness of the local oscillation near the point.