Periodic solutions for a class of evolution inclusions
Analysis of PDEs
2018-05-01 v1
Abstract
We consider a periodic evolution inclusion defined on an evolution triple of spaces. The inclusion involves also a subdifferential term. We prove existence theorems for both the convex and the nonconvex problem, and we also produce extremal trajectories. Moreover, we show that every solution of the convex problem can be approximated uniformly by certain extremal trajectories (strong relaxation). We illustrate our results by examining a nonlinear parabolic control system.
Cite
@article{arxiv.1804.11148,
title = {Periodic solutions for a class of evolution inclusions},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1804.11148},
year = {2018}
}