We present some results concerning two classes of P.D.E.s containing a continuous hysteresis operator. We introduce a weak formulation in Sobolev spaces for a Cauchy problem; under suitable assumptions on the hysteresis operator, we state some existence results. The presentation of the paper is quite general, as we avoid to describe all the details of the proof of the theorems involved
Some P.D.E.s with hysteresis / Eleuteri, Michela. - 154:(2007), pp. 159-168. (Intervento presentato al convegno International Conference: Free Boundary Problems - Theory and Applications tenutosi a Coimbra nel 7-12 Giugno 2005) [10.1007/978-3-7643-7719-9_16].
Some P.D.E.s with hysteresis
ELEUTERI, Michela
2007
Abstract
We present some results concerning two classes of P.D.E.s containing a continuous hysteresis operator. We introduce a weak formulation in Sobolev spaces for a Cauchy problem; under suitable assumptions on the hysteresis operator, we state some existence results. The presentation of the paper is quite general, as we avoid to describe all the details of the proof of the theorems involved
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