Exponential decay of weak solutions for hyperbolic systems of first order with discontinuous coefficients
Author:
Hang Chin Lai
Journal:
Trans. Amer. Math. Soc. 170 (1972), 425-436
MSC:
Primary 35L45
DOI:
https://doi.org/10.1090/S0002-9947-1972-0313640-2
MathSciNet review:
0313640
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Abstract | References | Similar Articles | Additional Information
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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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1972-0313640-2
Keywords:
Hyperplane,
derivative in distribution sense,
weak solution,
mollifier method,
smoothed functions
Article copyright:
© Copyright 1972
American Mathematical Society
