The existence of solutions of a perturbed evolution inclusion of m-dissipative is considered in a rather general setting. The existence of integral solutions of the problem with an initial condition is proved. If the multimap is also Lipschitz in x a density result is established. The proof relies on the well-known argument that uses a continuous selection of the Nemytski˘ı operator of F and a fixed point of the solution map.
On nonconvex functional evolution inclusions involving m-dissipative operators
CARDINALI, Tiziana;
1997
Abstract
The existence of solutions of a perturbed evolution inclusion of m-dissipative is considered in a rather general setting. The existence of integral solutions of the problem with an initial condition is proved. If the multimap is also Lipschitz in x a density result is established. The proof relies on the well-known argument that uses a continuous selection of the Nemytski˘ı operator of F and a fixed point of the solution map.File in questo prodotto:
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