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- Publisher
- Springer Journals
- Copyright
- Copyright © 2002 by Birkhäuser Verlag Basel,
- Subject
- Mathematics; Analysis
- ISSN
- 1424-3199
- DOI
- 10.1007/s00028-002-8088-8
- Publisher site
- See Article on Publisher Site
Abstract
A class of nonlinear reaction-diffusion systems is considered. We formulate some automatic control problems based on feedback devices located on the boundary. Two different types of devices are analyzed: relay switch and Preisach hysteresis operator. The resulting models lead to a nonlinear integrodifferential parabolic system with nonlinear and nonlocal boundary conditions. We prove global existence and uniqueness of solutions in both the cases considered.
Journal
Journal of Evolution Equations – Springer Journals
Published: May 1, 2002