An integro-differential operator which models several phenomena in viscoelasticity, biology and superconductivity is considered. The initial-boundary problems with Neumann, Dirichlet and mixed boundary conditions are analyzed and results on existence, uniqueness and a priori estimates are achieved. As example of equivalence among and various p.d.e. systems, the FitzHugh-Nagumo model is considered and results are applied both in the linear case and in the non linear one.
A priori estimates for excitable models / DE ANGELIS, Monica. - In: MECCANICA. - ISSN 0025-6455. - STAMPA. - 48:10(2013), pp. 2491-2496. [10.1007/s11012-013-9763-2]
A priori estimates for excitable models
DE ANGELIS, MONICA
2013
Abstract
An integro-differential operator which models several phenomena in viscoelasticity, biology and superconductivity is considered. The initial-boundary problems with Neumann, Dirichlet and mixed boundary conditions are analyzed and results on existence, uniqueness and a priori estimates are achieved. As example of equivalence among and various p.d.e. systems, the FitzHugh-Nagumo model is considered and results are applied both in the linear case and in the non linear one.File in questo prodotto:
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