A parabolic equation in three space variables with a Preisach hysteresis operator and with homogeneous Neumann boundary conditions is shown to admit a unique global regular solution; this can be used to prove the asymptotic stabilization of the solution. The results of this paper improve the content of Ref. [5], where the regularity of the solution was obtained under appropriate smallness conditions on the initial data.
On a Neumann parabolic problem with hysteresis: the 3D case / Eleuteri, Michela; Pavel, Krejci. - pubblicazione IMATI-CNR 29PV10/27/0 Pavia(2010). (Intervento presentato al convegno EQUADIFF 2007 tenutosi a Vienna nel 5-11 Agosto 2007).
On a Neumann parabolic problem with hysteresis: the 3D case
ELEUTERI, Michela;
2010
Abstract
A parabolic equation in three space variables with a Preisach hysteresis operator and with homogeneous Neumann boundary conditions is shown to admit a unique global regular solution; this can be used to prove the asymptotic stabilization of the solution. The results of this paper improve the content of Ref. [5], where the regularity of the solution was obtained under appropriate smallness conditions on the initial data.
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