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Why second order parabolic systems ? (English) Zbl 0596.35062
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

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
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