Semigroup approach to the question of stability for a partial differential equation with hysteresis (Q1269604)
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scientific article; zbMATH DE number 1215673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semigroup approach to the question of stability for a partial differential equation with hysteresis |
scientific article; zbMATH DE number 1215673 |
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Semigroup approach to the question of stability for a partial differential equation with hysteresis (English)
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7 July 1999
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The author is concerned with the asymptotic behavior in the \(L^1(\Omega)\)-norm of the solutions to partial differential equations with hysteresis (PDEH). The method here is the semigroup approach in \(L^1(\Omega)\). One reduces the PDEH to a first-order differential equation associated with m-accretive operators in \(L^1(\Omega)\), whose solution can be expressed in terms of nonlinear semigroups. The results are interesting, and most of their proof is not routine.
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m-accretive operators
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