On the mixed Cauchy problem with data on singular conics

• Peter Ebenfelt ^[1] ; Hermann Render ^[2]
  1. [1] University of California, San Diego

     University of California, San Diego

     Estados Unidos

     
  2. [2] Universidad de La Rioja

     Universidad de La Rioja

     Logroño, España

     
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 1, 2008, págs. 248-266
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We consider a problem of mixed Cauchy type for certain holomorphic partial differential operators with the principal part Q2p(D) essentially being the (complex) Laplace operator to a power, p. We provide inital data on a singular conic divisor given by P = 0, where P is a homogeneous polynomial of degree 2p. We show that this problem is uniquely solvable if the polynomial P is elliptic, in a certain sense, with respect to the principal part Q2p(D).