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A Simple Characterization of Positivity Preserving Semi-linear Parabolic Systems by Haraux, Alain is a scholarly article available to read on EtoBox.

What is A Simple Characterization of Positivity Preserving Semi-linear Parabolic Systems about?

We give a simple and direct proof of the characterization of positivity preserving semi-flows for ordinary differential systems. The same method provides an abstract result on a class of evolution systems containing reaction-diffusion systems in a bounded domain of $ \mathbb{R}^n$ with either Neumann or Dirichlet homogeneous boundary conditions. The conditions are exactly the same with or without diffusion. A similar approach gives the optimal result for invariant rectangles in the case of Neumann conditions.

Author

Haraux, Alain

Published

2016

Language

EN