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Propagation of the singularities of solutions of initial-boundary-value problems for first-order hyperbolic systems

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Abstract

One proves a certain variant of the lemma on the finite velocity of the propagation of singularities for the solutions of first order hyperbolic systems. This result has been already used in a series of papers on the spectral asymptotics of elliptic operators.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 138–149, 1985.

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Safarov, Y.G. Propagation of the singularities of solutions of initial-boundary-value problems for first-order hyperbolic systems. J Math Sci 37, 877–885 (1987). https://doi.org/10.1007/BF01387727

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  • DOI: https://doi.org/10.1007/BF01387727

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