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Mathematics > Analysis of PDEs

arXiv:1804.11148 (math)
[Submitted on 30 Apr 2018]

Title:Periodic solutions for a class of evolution inclusions

Authors:Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
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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.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35K85, 35L90
Cite as: arXiv:1804.11148 [math.AP]
  (or arXiv:1804.11148v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.11148
Journal reference: Comput. Math. Appl. 75:8 (2018), 3047-3065
Related DOI: https://doi.org/10.1016/j.camwa.2018.01.031

Submission history

From: Dušan Repovš [view email]
[v1] Mon, 30 Apr 2018 12:18:55 UTC (19 KB)
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