Hyperbolic Problems and Regularity Questions

Part of the series Trends in Mathematics pp 17-25

The Fundamental Solution for a Second Order Weakly Hyperbolic Cauchy problem

  • Alessia AscanelliAffiliated withDipartimento di Matematica, Università di Ferrara
  • , Massimo CicognaniAffiliated withDipartimento di Matematica, Università di BolognaFacoltà di Ingegneria II

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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.


Weakly Hyperbolic Equations Cauchy Problem

Mathematics Subject Classification (2000)

35L80 35L15