Hadamard formula in nonsmooth domains and applications (Q2725525)
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scientific article; zbMATH DE number 1619390
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hadamard formula in nonsmooth domains and applications |
scientific article; zbMATH DE number 1619390 |
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19 September 2002
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Eulerian derivatives of domain functionals
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deflection of an elastic membrane
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interior crack
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domain with a crack
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Hadamard formula in nonsmooth domains and applications (English)
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The authors prove a structure theorem for the Eulerian derivatives of domain functionals defined in nonsmooth domains, and apply it to the optimal value function (viewed as a domain functional) of the optimal control of the elliptic equation modelling the deflection of an elastic membrane with interior crack and to the energy functional for an elliptic equation in a domain with a crack.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00045].
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