Gevrey Local Solvability for Degenerate Parabolic Operators of Higher Order

  • Alessandro Oliaro
  • Petar Popivanov

Abstract

In this paper we study the local solvability in Gevrey classes for degenerate parabolic operators of order ≥ 2. We assume that the lower order term vanishes at a suitably smaller rate with respect to the principal part; we then analyze its influence on the behavior of the operator, proving local solvability in Gevrey spaces Gs for small s, and local nonsolvability in Gs for large s.

Keywords

Degenerate parabolic operators Gevrey classes local solvability non local solvability 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Alessandro Oliaro
    • 1
  • Petar Popivanov
    • 2
  1. 1.Department of MathematicsUniversity of TorinoTorinoItaly
  2. 2.Institute of Mathematics and InformaticsBulgarian Academy of SciencesSofiaBulgaria

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