The authors examine evolution inclusions in a separable Hilbert space where the dynamic involves the subdifferential of a convex and lower semi-continuous function and an upper semi-continuous nonconvex and dissipative set-valued map called perturbation. Under some hypothesis, the existence of a strong global solution is proved, extending earlier results. An example of a distributed parameter system is presented and an application to a convex viability problem is deduced.
An existence theorem for evolution inclusions involving opposite monotonicities
CARDINALI, Tiziana;
1998
Abstract
The authors examine evolution inclusions in a separable Hilbert space where the dynamic involves the subdifferential of a convex and lower semi-continuous function and an upper semi-continuous nonconvex and dissipative set-valued map called perturbation. Under some hypothesis, the existence of a strong global solution is proved, extending earlier results. An example of a distributed parameter system is presented and an application to a convex viability problem is deduced.File in questo prodotto:
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