Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837639 | Nonlinear Analysis: Real World Applications | 2011 | 10 Pages |
Abstract
The paper is devoted to the investigation of a parabolic equation with the Preisach operator under the time derivative. The model equation appears in the context of soil water hysteresis. Under suitable assumptions an existence result is obtained by using an implicit time discretization scheme, a priori estimates and passage to the limit in the convexity domain of the Preisach operator.
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Authors
P. Kordulová,