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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.42 (2010) s.
  6. A Note on Non-homogeneous Hyperbolic Operators with Low Regularity Coefficients
 
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A Note on Non-homogeneous Hyperbolic Operators with Low Regularity Coefficients

Fanelli, Francesco
•
Colombini, Ferruccio
2010
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ISSN
0049-4704
http://hdl.handle.net/10077/3920
  • Article

Abstract
In this paper we obtain an energy estimate for a complete strictly hyperbolic operator with second order coefficients satisfying a log-Zygmund-continuity condition with respect to $t$, uniformly with respect to $x$, and a log-Lipschitz-continuity condition with respect to $x$,uniformly with respect to $t$.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Subjects
  • Hyperbolic equations

  • log-Zygmund regularit...

  • loss of derivatives

Publisher
EUT Edizioni Università di Trieste
Source
Ferruccio Colombini, Francesco Fanelli, "A Note on Non-homogeneous Hyperbolic Operators with Low Regularity Coefficients", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 suppl. (2010), pp. 1-25.
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