Abstract
We analyze some highly oscillatory solutions of nonlinear hyperbolic partial differential equations. There is a large and very interesting literature devoted to formal high frequency solutions. We refer to [W], [K-H], [H-M-R], [F-F-McL], and the references therein for more information. Rigorous results asserting that there are exact solutions which behave like the formal ones are much less numerous, [D-M], [T1], and [J] being three from which we have learned much.
Research partially supported by the National Science Foundation under grant DMS-8601783.
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Dedicated to the Laxs, role models extraordinaires.
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© 1987 Springer-Verlag New York Inc.
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Joly, J.L., Rauch, J. (1987). High Frequency Similinear Oscillations. In: Chorin, A.J., Majda, A.J. (eds) Wave Motion: Theory, Modelling, and Computation. Mathematical Sciences Research Institute Publications, vol 7. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9583-6_7
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DOI: https://doi.org/10.1007/978-1-4613-9583-6_7
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