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Energy estimates for the Cauchy problem associated to a class of hyperbolic operators with double characteristics in presence of transition

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Abstract

The aim of the paper is to establish energy estimates for solutions to the Cauchy problem for the class of hyperbolic second order operators with double characteristics in presence of transition \(P=D^2_{x_0} - D^2_{x_1} - (x_0+ \lambda - \alpha (x_1))^2 D^2_{x_2}\).

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Authors and Affiliations

  1. Department of Mathematics and Applications “R. Caccioppoli”, University of Naples “Federico II”, Via Cintia, Monte S.Angelo, 80126, Naples, Italy

    Annamaria Barbagallo & Vincenzo Esposito

Authors
  1. Annamaria Barbagallo
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  2. Vincenzo Esposito
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Correspondence to Annamaria Barbagallo.

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Communicated by Salvatore Rionero.

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Barbagallo, A., Esposito, V. Energy estimates for the Cauchy problem associated to a class of hyperbolic operators with double characteristics in presence of transition. Ricerche mat. 64, 243–249 (2015). https://doi.org/10.1007/s11587-015-0228-x

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  • DOI: https://doi.org/10.1007/s11587-015-0228-x

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