Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Uniform asymptotic solutions of discontinuous initial value problems for dispersive hyperbolic equations


Author: J. Boersma
Journal: Quart. Appl. Math. 25 (1967), 31-44
MSC: Primary 35.52; Secondary 35.53
DOI: https://doi.org/10.1090/qam/208156
MathSciNet review: 208156
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Abstract | References | Similar Articles | Additional Information

Abstract: This paper is concerned with a discontinuous initial value problem for a dispersive hyperbolic equation where the dispersive term of the equation contains a large parameter.


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

  • [1] N. Bleistein and R. M. Lewis, Asymptotic solution of a dispersive hyperbolic equation with variable coefficients, New York University, Courant Institute of Mathematical Sciences, Div. Electromagnetic Res., Res. Rep. No. EMp-206, 1965
  • [2] Robert M. Lewis, Asymptotic methods for the solution of dispersive hyperbolic equations, Asymptotic Solutions of Differential Equations and Their Applications (Proc. Sympos., Math. Res. Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1964), Wiley, New York, 1964, pp. 53–107. MR 0168931
  • [3] R. M. Lewis, Asymptotic theory of transients, presented at U.R.S.I. Symposium, Delft, 1965

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Additional Information

DOI: https://doi.org/10.1090/qam/208156
Article copyright: © Copyright 1967 American Mathematical Society


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