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Journal Articles Electronic Journal of Qualitative Theory of Differential Equations Year : 2012

Time dependent evolution inclusions governed by the difference of two subdifferentials

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.
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Dates and versions

hal-01113748 , version 1 (06-02-2015)

Identifiers

  • HAL Id : hal-01113748 , version 1

Cite

Sophie Guillaume. Time dependent evolution inclusions governed by the difference of two subdifferentials. Electronic Journal of Qualitative Theory of Differential Equations, 2012, 92, pp.1 - 27. ⟨hal-01113748⟩
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