Publication Cover
Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 9
36
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Original Articles

Energy estimates for regularly hyperbolic operators with log-Lipschitz coefficients

Pages 1051-1075 | Received 26 Dec 2006, Accepted 11 Jun 2007, Published online: 04 Oct 2007

References

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  • Colombini , F , De Giorgi , E and Spagnolo , S . 1979 . Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps . Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV , 4 ( 6 ) : 511 – 559 .
  • Colombini , F and Lerner , N . 1995 . Hyperbolic operators with non-Lipschitz coefficients . Duke Mathematical Journal , 77 : 657 – 698 .
  • Coifman , R and Meyer , Y . 1978 . Au delà des opérateurs pseudo-différentiels , 57 (Paris: Société Mathématique de France) : Astérisque .
  • Calderón , A-P . 1978 . “ Commutators, singular integrals on Lipschitz curves and applications ” . In Proceedings of the International Congress of Mathematicians (Helsinki, 1978) , 85 – 96 . Helsinki : Acad. Sci. Fennica .
  • Taylor , ME . 1991 . Pseudodifferential Operators and Nonlinear PDE , Boston : Birkäuser .
  • Hörmander , L . 1985 . The Analysis of Linear Partial Differential Operators III , Berlin : Springer .
  • Lax , P . 2002 . Functional Analysis , New York : Wiley-Interscience .
  • Sakamoto , R . 1982 . Hyperbolic Boundary Value Problems , Cambridge : Cambridge University Press .
  • Mizohata , S . 1973 . The Theory of Partial Differential Equations , New York : Cambridge University Press .

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