In this paper we consider evolution inclusions of subdifferential type. First, we prove a convergence result and a continuous dependence proposition for abstract Cauchy problem of the form u' ∈ -∂⁻f(u) + G(u), u(0) = x₀, where ∂⁻f is the Fréchet subdifferential of a function f defined on an open subset Ω of a real separable Hilbert space H, taking its values in IR ∪ {+∞}, and G is a multifunction from C([0,T],Ω) into the nonempty subsets of L²([0,T],H). We obtain analogous results for the multivalued perturbed problem x' ∈ -∂⁻f(x) + G(t,x), x(0) = x₀, where G:[0,T]×Ω → N(H) is a suitable multifunction.
@article{bwmeta1.element.bwnjournal-article-div15i1n5bwm,
author = {Tiziana Cardinali and Francesca Papalini},
title = {Convergence results for nonlinear evolution inclusions},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {15},
year = {1995},
pages = {43-60},
zbl = {0828.34011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-div15i1n5bwm}
}
Tiziana Cardinali; Francesca Papalini. Convergence results for nonlinear evolution inclusions. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 15 (1995) pp. 43-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div15i1n5bwm/
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