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
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- S. C. Chikwendu, Asymptotic solutions of some weakly nonlinear elliptic equations, SIAM J. Appl. Math. 31 (1976), no. 2, 286–303. MR 415048, DOI https://doi.org/10.1137/0131023
- S. C. Chikwendu and J. Kevorkian, A perturbation method for hyperbolic equations with small nonlinearities, SIAM J. Appl. Math. 22 (1972), 235–258. MR 374635, DOI https://doi.org/10.1137/0122025
- Wiktor Eckhaus, New approach to the asymptotic theory of nonlinear oscillations and wave-propagation, J. Math. Anal. Appl. 49 (1975), 575–611. MR 369839, DOI https://doi.org/10.1016/0022-247X%2875%2990200-0
- S. C. Chikwendu, Nonlinear wave propagation solutions by Fourier transform perturbation, Internat. J. Non-Linear Mech. 16 (1981), no. 2, 117–128 (English, with German summary). MR 618928, DOI https://doi.org/10.1016/0020-7462%2881%2990003-2
- Julian D. Cole, Perturbation methods in applied mathematics, Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1968. MR 0246537
S. C. Chikwendu, Asymptotic solutions of some weakly nonlinear elliptic equations, SIAM J. Appl. Math. 31, 286–303 (1976)
S. C. Chikwendu and J. Kevorkian, A perturbation method for hyperbolic equations with small nonlinearities, SIAM J. Appl. Math. 22, 235–258 (1972)
W. Eckhaus, New approach to the asymptotic theory of nonlinear oscillations and wave propagation, J. Math. Anal. & Applies. 49, 575–611 (1975)
S. C. Chikwendu, Nonlinear wave propagation solution by Fourier transform perturbation, Int. J. Nonlinear Mech. 16, 117–128 (1981)
J. D. Cole, Perturbation methods in applied mathematics, Blaisdell, Waltham, Mass., 1968
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
35J65,
35B20,
35C99
Retrieve articles in all journals
with MSC:
35J65,
35B20,
35C99
Additional Information
Article copyright:
© Copyright 1982
American Mathematical Society