Abstract
We consider a semilinear parabolic equation with flux at the boundary governed by a nonlinear memory. We give some conditions for this problem which guarantee global existence of solutions as well as blow-up in finite time of all nontrivial solutions. The results depend on the behavior of variable coefficients as
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Acknowledgments
The first author is grateful to the University of Picardie Jules Verne, since a part of this work was done while he enjoyed the hospitality of this university.
Disclosure statement
No potential conflict of interest was reported by the authors.