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Hokkaido Mathematical Journal, 1(33), p. 83-113

DOI: 10.14492/hokmj/1285766006

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Decay estimates for hyperbolic systems

Journal article published in 2004 by Vladimir Georgiev, Sandra Lucente, Guido Ziliotti
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

In this work we study the Sobolev spaces generated by pseudo-differential operators associated with the group of symmetry of general first order hyperbolic systems. In these spaces we establish pointwise estimates of the solutions of a class of first order systems having convex eigenvalues. Various physical models belong to this class. For example, we consider crystal optics systems and anisotropic elasticity equations.