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2007, 2007(Special): 344-353. doi: 10.3934/proc.2007.2007.344

An existence result for a P.D.E. with hysteresis, convection and a nonlinear boundary condition

1. 

Università degli Studi di Trento, Dipartimento di Matematica, Via Sommarive 14, I–38050 Povo (Trento), Italy

Received  September 2006 Revised  February 2007 Published  September 2007

In this paper a partial differential equation containing a continuous hysteresis operator and a convective term is considered. This model equation, which appears in the context of magnetohydrodynamics, is coupled with a nonlinear boundary condition containing a memory operator. Under suitable assumptions, an existence result is achieved using an implicit time discretization scheme.
Citation: Michela Eleuteri. An existence result for a P.D.E. with hysteresis, convection and a nonlinear boundary condition. Conference Publications, 2007, 2007 (Special) : 344-353. doi: 10.3934/proc.2007.2007.344
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