We deal with a class of first order linear hyperbolic systems whose coefficients are pseudodifferential operators with globally defined symbols, chosen in the class of the so-called SG-symbols. We extend some results obtained in a previous paper, under different conditions on the eigenvalues of the principal part of the coefficient matrix. As an application, we consider the Dirac equation, assuming suitable smoothness and decay hypotheses for the potential.
A class of hyperbolic linear first order systems with constant multiplicities
CORIASCO, Sandro
2000-01-01
Abstract
We deal with a class of first order linear hyperbolic systems whose coefficients are pseudodifferential operators with globally defined symbols, chosen in the class of the so-called SG-symbols. We extend some results obtained in a previous paper, under different conditions on the eigenvalues of the principal part of the coefficient matrix. As an application, we consider the Dirac equation, assuming suitable smoothness and decay hypotheses for the potential.
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