Nonnegative measures belonging to \(H^{-1}(\mathbb{R}^2)\) (Q2351833)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonnegative measures belonging to \(H^{-1}(\mathbb{R}^2)\) |
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Nonnegative measures belonging to \(H^{-1}(\mathbb{R}^2)\) (English)
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26 June 2015
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In this note, motivated by the 2D incompressible Euler system, the author shows that a non negative compactly supported Radon measure \(\mu\) belongs to \(H^{-1}(\mathbb R^2)\) provided that the function \(r\rightarrow \mu(B(0,r)\) is Hölder continuous.
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non negative Radon measure
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two-dimensional
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