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On a system of nonlinear parabolic equations arising in chemical engineering. (English) Zbl 0326.35044

MSC:
35K55 Nonlinear parabolic equations
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35J60 Nonlinear elliptic equations
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[1] Brian, P.L.T; Hurley, J.F; Hasseltine, E.H, Penetration theory for gas absorption accompanied by a second order chemical reaction, Aiche j., 7, 226-231, (1961)
[2] Courant, R; Hilbert, D, ()
[3] Danckwerts, P.V, Gas liquid reactions, (1970), McGraw-Hill Book Company New York
[4] Friedman, A, On the regularity of solutions of nonlinear elliptic and parabolic systems of partial differential equations, J. math. mech., 7, 43-60, (1958) · Zbl 0078.27702
[5] Friedman, A, Partial differential equations of parabolic type, (1964), Prentice-Hall Inc Englewood Cliffs · Zbl 0144.34903
[6] Fujita, H, On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations, (), 105-113, Part 1
[7] Fujita, H; Watanabe, S, On the uniqueness and non-uniqueness of solutions of initial value problems for some quasi-linear parabolic equations, Comm. pure appl. math., 21, 631-652, (1968) · Zbl 0157.17603
[8] Il’in, A.M; Kalashnikov, A.S; Oleinek, O.A, Second order linear equations of parabolic type, Russian math. surveys, 17, No. 3, 1-143, (1962)
[9] Itô, S, A boundary value problem of parabolic type, Duke math. J., 24, 299-312, (1957) · Zbl 0084.30202
[10] Krasnosel’skii, M.A, Positive solutions of operator equations, (1964), P. Noordhoff Ltd Groningen · Zbl 0121.10604
[11] Pearson, J.R.A, Diffusion of one substance into a semi-infinite medium containing another with a second order reaction, Appl. sci. res., 11, 321-340, (1963), Section A · Zbl 0115.31102
[12] Pogorzelski, W, Étude d’un function de Green et du problème aux limites pour l’équation parabolique normale, Ann. polon. math., 4, 288-307, (1958) · Zbl 0084.30102
[13] Protter, M.H; Weinberger, H.F, Maximum principles in differential equations, (1967), Prentice-Hall Inc Englewood Cliffs · Zbl 0153.13602
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