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math.AP2016★ 2 cited
A simple characterization of positivity preserving semi-linear parabolic systems
Alain Haraux
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 cl…
math.AP2014
Finding the exact decay rate of all solutions to some second order evolution equations with dissipation
Marina Ghisi, Massimo Gobbino, Alain Haraux
We consider an abstract second order evolution equation with damping. The "elastic" term is represented by a self-adjoint nonnegative operator A with discrete spectrum, and the non…