We deal with the existence of solutions having L2-regularity for a class of non-autonomous evolution equations. Associated with the equation, a general non-local condition is studied. The technique we used combines a finite dimensional reduction together with the Leray–Schauder continuation principle. This approach permits to consider a wide class of nonlinear terms by allowing demicontinuity assumptions on the nonlinearity.

Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities

Colao V.;Muglia L.
2022-01-01

Abstract

We deal with the existence of solutions having L2-regularity for a class of non-autonomous evolution equations. Associated with the equation, a general non-local condition is studied. The technique we used combines a finite dimensional reduction together with the Leray–Schauder continuation principle. This approach permits to consider a wide class of nonlinear terms by allowing demicontinuity assumptions on the nonlinearity.
2022
Accretive operator
Evolution system
Fixed point
Non-autonomous evolution equation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/377703
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