Boukricha, Abderrahman; Sieveking, Malte Why second order parabolic systems ? (English) Zbl 0596.35062 Rocky Mt. J. Math. 16, 33-54 (1986). The authors provide a set of general properties - determinism, smoothness, locality, linearity or semilinearity, positivity, maximum principle, some combinations of which give sufficient conditions for the system to be a solution of a reaction-diffusion equation. Reviewer: F.Bounans Cited in 1 Review MSC: 35K40 Second-order parabolic systems 35B65 Smoothness and regularity of solutions to PDEs 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35B50 Maximum principles in context of PDEs 35K55 Nonlinear parabolic equations Keywords:modelisation; weak parabolicity; reaction-diffusion equation PDF BibTeX XML Cite \textit{A. Boukricha} and \textit{M. Sieveking}, Rocky Mt. J. Math. 16, 33--54 (1986; Zbl 0596.35062) Full Text: DOI