# N ov 2 00 2 The time-dependent maximum principle for systems of parabolic equations subject to an avoidance set

@inproceedings{Chow2001NO2, title={N ov 2 00 2 The time-dependent maximum principle for systems of parabolic equations subject to an avoidance set}, author={Bennett Chow}, year={2001} }

- Published 2001

For scalar parabolic equations, maximum principles are well-known [ PW] and have been applied in numerous settings in partial differential equations and geometric analysis. In the case of systems of parabolic equations, maximum principles are not as well-known and appear to be much less frequent. Notable exceptions are given by Richard Hamilton [ H1], [ H2] and Joel Smoller [ S] (see chapter 14). Hamilton’s maximum principle holds for solutions of reactiondiffusion equations (PDE) which are… CONTINUE READING

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