Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities
Analysis of PDEs
2022-07-13 v3
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.
Cite
@article{arxiv.2110.03565,
title = {Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities},
author = {Vittorio Colao and Luigi Muglia},
journal= {arXiv preprint arXiv:2110.03565},
year = {2022}
}