Conditional stability of a real inverse formula for the Laplace transform (Q5938157)
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scientific article; zbMATH DE number 1621544
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditional stability of a real inverse formula for the Laplace transform |
scientific article; zbMATH DE number 1621544 |
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Conditional stability of a real inverse formula for the Laplace transform (English)
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29 October 2001
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conditional stability
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real inverse formula
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Laplace transform
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The authors establish sufficient conditions for the validity of NEWLINE\[NEWLINE\|F\|_{L^\infty (t_0,t_1)}\leq C\log^{-\gamma} \bigl(1/ \|{\mathcal L}F \|_{L^\infty (0,\infty)}\bigl)NEWLINE\]NEWLINE with positive \(C,\gamma\), where \({\mathcal L}\) denotes the Laplace transform.
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