The paper deals with a nonlocal diffusion equation which is a model for biological invasions and diseases spread. A nonsmooth feedback control term is included and the existence of controlled dynamics is proved satisfying different kinds of nonlocal conditions. Jump discontinuities appear into the process. The existence of optimal control strategies is also showed, under suitably regular control functionals. The investigation makes use of techniques of multivalued analysis and is based on the degree theory for condensing operators in Hilbert spaces.
Nonsmooth feedback controls of nonlocal dispersal models
RUBBIONI, Paola
2016
Abstract
The paper deals with a nonlocal diffusion equation which is a model for biological invasions and diseases spread. A nonsmooth feedback control term is included and the existence of controlled dynamics is proved satisfying different kinds of nonlocal conditions. Jump discontinuities appear into the process. The existence of optimal control strategies is also showed, under suitably regular control functionals. The investigation makes use of techniques of multivalued analysis and is based on the degree theory for condensing operators in Hilbert spaces.File in questo prodotto:
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