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On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\). (English) Zbl 0306.35059


MSC:

35K55 Nonlinear parabolic equations
35B99 Qualitative properties of solutions to partial differential equations
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[1] Fujita, H., On Some Noncxistence and Nonuniqueness Theorems for Nonlinear Parabolic Equations, Proc. Sympos. Appl. Math., 18 Araer. Math. Soc., Providence, R. I, (1968), 105. · Zbl 0228.35048
[2] Keller, J. B., On Solutions of Nonlinear Wave Equations, Comm. Piue Appl. Alath. 10 (1957), 523. · Zbl 0090.31802
[3] Kawarada, H., On Solutions of Nonlinear Wave Equations, J. Phys. Soc. Japan, 26 (1971), 280. · Zbl 1230.35054
[4] Yanagida, H. and Kawarada, H., Mathematical Representation of Electric Current Transient in Polarized Ionic Conductors, to appear.
[5] Friedman, A., Partial Differential Equations of Parabolic Type. Prentice-Hall, Engle- wood Clifs, N.J., 1964. · Zbl 0144.34903
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