Exponential decay of weak solutions for hyperbolic systems of first order with discontinuous coefficients

Lai, Hang Chin

doi:10.1090/S0002-9947-1972-0313640-2

Exponential decay of weak solutions for hyperbolic systems of first order with discontinuous coefficients
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Trans. Amer. Math. Soc. 170 (1972), 425-436 Request permission

Abstract:

The weak solution of the Cauchy problem for symmetric hyperbolic systems with discontinuous coefficients in several space variables satisfying the fact that the coefficients and their first derivatives are bounded in the distribution sense is identically equal to zero if it is exponential decay.

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