Abstract : The purpose of this paper is to study evolution inclusions involving time depen-dent subdifferential operators which are non-monotone. More precisely, we study existence of solutions for the following evolution equation in a real Hilbert space X : u ′ (t) + ∂f t (u(t)) − ∂ϕ t (u(t)) ∋ w(t), u(0) = u 0 , where f t and ϕ t are closed convex proper functions on X.
https://hal-univ-avignon.archives-ouvertes.fr/hal-01113748
Contributor : Sophie Guillaume
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Submitted on : Friday, February 6, 2015 - 11:15:55 AM
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Sophie Guillaume. Time dependent evolution inclusions governed by the difference of two subdifferentials. Electronic Journal of Qualitative Theory of Differential Equations, University of Szeged, Bolyai Institute, 2012, 92, pp.1 - 27. ⟨hal-01113748⟩
