Limiting behavior of a class of nonlinear reaction diffusion equations
Author:
Charles J. Holland
Journal:
Quart. Appl. Math. 40 (1982), 293-296
MSC:
Primary 35K55; Secondary 35B40, 80A32
DOI:
https://doi.org/10.1090/qam/678200
MathSciNet review:
678200
Full-text PDF Free Access
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Additional Information
- Melvin S. Berger, Nonlinearity and functional analysis, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1977. Lectures on nonlinear problems in mathematical analysis; Pure and Applied Mathematics. MR 0488101
- Nathaniel Chafee, A stability analysis for a semilinear parabolic partial differential equation, J. Differential Equations 15 (1974), 522–540. MR 358042, DOI https://doi.org/10.1016/0022-0396%2874%2990071-0
- N. Chafee and E. F. Infante, A bifurcation problem for a nonlinear partial differential equation of parabolic type, Applicable Anal. 4 (1974/75), 17–37. MR 440205, DOI https://doi.org/10.1080/00036817408839081
- C. M. Dafermos, Asymptotic behavior of solutions of evolution equations, Nonlinear evolution equations (Proc. Sympos., Univ. Wisconsin, Madison, Wis., 1977) Publ. Math. Res. Center Univ. Wisconsin, vol. 40, Academic Press, New York-London, 1978, pp. 103–123. MR 513814
- Paul C. Fife, Mathematical aspects of reacting and diffusing systems, Lecture Notes in Biomathematics, vol. 28, Springer-Verlag, Berlin-New York, 1979. MR 527914
P. Lions, Asymptotic behavior of some nonlinear heat equations, MRC Technical Report # 2134 (1980)
M. Berger, Nonlinearity and functional analysis, New York and London, Academic Press, 1977
N. Chafee, A stability analysis for a semilinear parabolic partial differential equation, J. Diff. Eqns. 15, 522–540 (1974)
N. Chafee and E. Infante, A bifurcation problem for a nonlinear partial differential equation of parabolic type, Applicable Anal. 4, 17–37 (1974)
C. Dafermos, Asymptotic behavior of solutions to evolution equations, in Nonlinear evolution equations, M. Crandall, ed., New York and London: Academic Press, 1978, pp. 109–123
P. Fife, Mathematical aspects of reacting and diffusing systems, New York, Springer-Verlag, 1979
P. Lions, Asymptotic behavior of some nonlinear heat equations, MRC Technical Report # 2134 (1980)
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Article copyright:
© Copyright 1982
American Mathematical Society
