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A Note on Complete Hyperbolic Operators with log-Zygmund Coefficients

  • Ferruccio ColombiniEmail author
  • Daniele Del Santo
  • Francesco Fanelli
  • Guy Métivier
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The present paper is the continuation of the recent work [7], and it is devoted to strictly hyperbolic operators with non-regular coefficients. We focus here on the case of complete operators whose second-order coefficients are log-Zygmund continuous in time, and we investigate the \(H^\infty\) well-posedness of the associate Cauchy problem.

Keywords

Hyperbolic operators non-Lipschitz coefficient log-Zygmund regularity energy estimates well-posedness 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ferruccio Colombini
    • 1
    Email author
  • Daniele Del Santo
    • 2
  • Francesco Fanelli
    • 3
  • Guy Métivier
    • 4
  1. 1.Dipartimento di MatematicaUniversità di PisaPisaItaly
  2. 2.Dipartimento di Matematica e GeoscienzeUniversità degli Studi di TriesteTriesteItaly
  3. 3.BCAM – Basque Center for Applied MathematicsBilbaoBasque Country, Spain
  4. 4.Institut de Mathématiques de Bordeaux, UMR 5251Université de Bordeaux 1TalenceFrance

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