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On the nonlinear equations $\Delta u + e^u = 0$ and $\partial v/\partial t = \Delta v + e^v$
Author:
Hiroshi Fujita
Journal:
Bull. Amer. Math. Soc. 75 (1969), 132-135
MathSciNet review:
0239258
Full-text PDF
References |
Additional Information
- 1.
R. Courant and D. Hilbert, Methods of mathematical physics. Vol. 2, Interscience, New York, 1962.
- 2.
I.
M. Gel′fand, Some problems in the theory of quasi-linear
equations, Uspehi Mat. Nauk 14 (1959), no. 2
(86), 87–158 (Russian). MR 0110868
(22 #1736)
- 3.
Eberhard
Hopf, A remark on linear elliptic
differential equations of second order, Proc.
Amer. Math. Soc. 3
(1952), 791–793. MR 0050126
(14,280b), http://dx.doi.org/10.1090/S0002-9939-1952-0050126-X
- 4.
Tosio
Kato, On the upper and lower bounds of eigenvalues, J. Phys.
Soc. Japan 4 (1949), 334–339. MR 0038738
(12,447b)
- 1.
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. 2, Interscience, New York, 1962.
- 2.
- I. M. Gel'fand, Some problems in the theory of quasilinear equations, Uspehi Mat. Nauk 14 (1959), no. 2 (86), 87-158; English transl., Amer. Math. Soc. Transl. (2) 29 (1963), 295-381. MR 110868
- 3.
- E. Hopf, A remark on linear elliptic differential equations of second order, Proc. Amer. Math. Soc. 3 (1952), 791-793. MR 50126
- 4.
- T. Kato, On the upper and lower bounds of eigenvalues, J. Phys. Soc. Japan 4 (1949), 334-339. MR 38738
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1969-12175-0
PII:
S 0002-9904(1969)12175-0
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