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On a system of quasliniear parabolic functional differential equations. (English) Zbl 1121.35138

Summary: We consider initial boundary value problems for a system of second order quasilinear parabolic equations where also the main part contains functional dependence on the unknown function. This system is of type, considered by U. Hornung and W. Jäger [J. Differ. Equat. 92, 199–225 (1991; Zbl 0731.76080)] and by U. Hornung, W. Jäger and A. Mikelic [RAIRO, Modélisation Math. Anal. Numér. 28, No. 1, 59–94 (1994; Zbl 0824.76083)].

MSC:

35R10 Partial functional-differential equations
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