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arXiv · 2110.03565

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

Vittorio Colao·Luigi Muglia
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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.

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Vittorio Colao, Luigi Muglia. 2021-10-07. Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities. https://arxiv.org/abs/2110.03565

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