The Cauchy problem for degenerate parabolic equations in Gevrey classes

• Kunihiko Kajitani ^[1] ; Masahiro Mikami ^[2]
  1. [1] University of Tsukuba

     University of Tsukuba

     Japón

     
  2. [2] Ehime University

     Ehime University

     Japón

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 26, Nº 2, 1998, págs. 383-406
• Idioma: inglés
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• Resumen

  • This paper is devoted to the study of parabolic operators which are degenerate at the time variable t = 0. Under the assumptions associated with the Newton’s polygon the Cauchy problem for this operator can be solved uniquely in Sobolev spaces and Gevrey spaces.