Lower semicontinuous perturbations of maximal monotone differential inclusions |
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Authors: | Giovanni Colombo Alessandro Fonda António Ornelas |
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Institution: | 1. International School for Advanced Studies (SISSA), Str. Costiera 11, I-34014, Trieste, Italy
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Abstract: | We prove existence of solutions to 1 $$\dot x \in - Ax + F\left( {t,x} \right),x\left( a \right) = x^0 ,$$ whereA is a maximal monotone operator inR n andF is a multifunction measurable in (t, x) and l.s.c. inx, satisfying a sublinear growth condition. |
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