Convex domains and unique continuantion at the boundary

• Autores: Carlos E. Kenig, L. Ezcauriaza, V. Adolfsson
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 11, Nº 3, 1995, págs. 513-526
• Idioma: francés
• Títulos paralelos:
  • Dominios convexos y continuación única en el contorno.
• Enlaces
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• Resumen

  • We show that a harmonic function which vanishes continuously on an open set of the boundary of a convex domain cannot have a normal derivative which vanishes on a subset of positive surface measure. We also prove a similar result for caloric functions vanishing on the lateral boundary of a convex cylinder.