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 in [6], [7] by U. Hornung, W. Jäger and A. Mikelic.
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Jäger, W., Simon, L. On a system of quasilinear parabolic functional differential equations. Acta Math Hung 112, 39–55 (2006). https://doi.org/10.1007/s10474-006-0063-3
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DOI: https://doi.org/10.1007/s10474-006-0063-3