Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Fourier transform perturbation solution of elliptic equations with small nonlinearities

Author: S. C. Chikwendu
Journal: Quart. Appl. Math. 40 (1982), 311-317
MSC: Primary 35J65; Secondary 35B20, 35C99
DOI: https://doi.org/10.1090/qam/678202
MathSciNet review: 678202
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References [Enhancements On Off] (What's this?)

  • [1] S. C. Chikwendu, Asymptotic solutions of some weakly nonlinear elliptic equations, SIAM J. Appl. Math. 31, 286-303 (1976) MR 0415048
  • [2] S. C. Chikwendu and J. Kevorkian, A perturbation method for hyperbolic equations with small nonlinearities, SIAM J. Appl. Math. 22, 235-258 (1972) MR 0374635
  • [3] W. Eckhaus, New approach to the asymptotic theory of nonlinear oscillations and wave propagation, J. Math. Anal. & Applies. 49, 575-611 (1975) MR 0369839
  • [4] S. C. Chikwendu, Nonlinear wave propagation solution by Fourier transform perturbation, Int. J. Nonlinear Mech. 16, 117-128 (1981) MR 618928
  • [5] J. D. Cole, Perturbation methods in applied mathematics, Blaisdell, Waltham, Mass., 1968 MR 0246537

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DOI: https://doi.org/10.1090/qam/678202
Article copyright: © Copyright 1982 American Mathematical Society

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