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: 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.
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
- 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
R. M. Lewis, Asymptotic theory of transients, presented at U.R.S.I. Symposium, Delft, 1965
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
R. M. Lewis, Asymptotic methods for the solution of dispersive hyperbolic equations, New York University, Courant Institute of Mathematical Sciences, Div. Electromagnetic Res., Res. Rep. No. EM-197, 1964 = Asymptotic solutions of differential equations and their applications, C. H. Wilcox, ed., University of Wisconsin Symposium Proceedings, pp. 53–107, Wiley, N. Y., 1964
R. M. Lewis, Asymptotic theory of transients, presented at U.R.S.I. Symposium, Delft, 1965
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Article copyright:
© Copyright 1967
American Mathematical Society