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The partial differential equation $ u\sb{t}+f(u)\sb{x}=-cu$

Author: Harumi Hattori
Journal: Proc. Amer. Math. Soc. 86 (1982), 395-401
MSC: Primary 35L65; Secondary 35C05
MathSciNet review: 671202
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Abstract: Lax's solution formula for the equation $ {u_t} + f{(u)_x} = 0$ is extended to the equation $ {u_t} + f{(u)_x} = - cu$.

References [Enhancements On Off] (What's this?)

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  • [2] -, Hyperbolic systems of conservation laws and the mathematical theory of shock waves, SIAM Regional Conf. Ser. Appl. Math., Society for Industrial and Applied Mathematics, Philadelphia, 1973. MR 0350216 (50:2709)
  • [3] T. Nishida, Global smooth solutions for the second order quasilinear wave equations with first order dissipation, unpublished, 1975.
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Keywords: Conservation laws, shock
Article copyright: © Copyright 1982 American Mathematical Society

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