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Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems

  • Ilia Kamotski
  • Michael Ruzhansky
Part of the Operator Theory: Advances and Applications book series (OT, volume 164)

Abstract

Regularity properties of generic hyperbolic systems with diagonalizable principal part will be established in Lp and other function spaces. Sharp regularity of solutions will be discussed. Applications will be given to solutions of scalar weakly hyperbolic equations with non-involutive characteristics. Established representation of solutions and its properties allow to derive spectral asymptotics for elliptic systems with diagonalizable principal part.

Keywords

Hyperbolic systems elliptic systems spectral asymptotics regularity of solutions 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Ilia Kamotski
    • 1
  • Michael Ruzhansky
    • 1
  1. 1.Department of MathematicsImperial CollegeLondonUK

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