The Fundamental Solution for a Second Order Weakly Hyperbolic Cauchy problem

  • Alessia Ascanelli
  • Massimo Cicognani
Conference paper

DOI: 10.1007/978-3-7643-7451-8_3

Part of the book series Trends in Mathematics (TM)
Cite this paper as:
Ascanelli A., Cicognani M. (2006) The Fundamental Solution for a Second Order Weakly Hyperbolic Cauchy problem. In: Padula M., Zanghirati L. (eds) Hyperbolic Problems and Regularity Questions. Trends in Mathematics. Birkhäuser Basel

Abstract

We construct the fundamental solution for a weakly hyperbolic operator satisfying an intermediate condition between effective hyperbolicity and the Levi condition. By the fundamental solution, we obtain the well-posedness in C of the Cauchy problem.

Keywords

Weakly Hyperbolic Equations Cauchy Problem 

Mathematics Subject Classification (2000)

35L80 35L15 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Alessia Ascanelli
    • 1
  • Massimo Cicognani
    • 2
    • 3
  1. 1.Dipartimento di MatematicaUniversità di FerraraFerraraItaly
  2. 2.Dipartimento di MatematicaUniversità di BolognaBolognaItaly
  3. 3.Facoltà di Ingegneria IICesenaItaly