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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
DOI: https://doi.org/10.1090/S0002-9939-1982-0671202-3
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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  • [5] O. Shisha, Monotone approximation, Pacific J. Math. 15 (1965), 667–671. MR 0185334

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0671202-3
Keywords: Conservation laws, shock
Article copyright: © Copyright 1982 American Mathematical Society