First-order inverse evolution equations (Q478967)
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scientific article; zbMATH DE number 6377003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | First-order inverse evolution equations |
scientific article; zbMATH DE number 6377003 |
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First-order inverse evolution equations (English)
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5 December 2014
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Consider the evolution problem \[ u^{\prime }(t)-Au(t)=f(t)z, u(0)=u_{0}, \] where \(A\) and \(z\) are given. The inverse problem is to identify the control \(f(t)\) from an observation \(\Phi \left( u\right) =g(t)\), where \(\Phi \) is a certain functional.
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inverse problem
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first-order problem
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\(C_{0}\) semigroup
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analytic semigroup
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