Modified energies for the periodic generalized KdV equation and applications (Q6075017)
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scientific article; zbMATH DE number 7752589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modified energies for the periodic generalized KdV equation and applications |
scientific article; zbMATH DE number 7752589 |
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Modified energies for the periodic generalized KdV equation and applications (English)
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20 October 2023
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Summary: We construct modified energies for the generalized KdV equation. As a consequence, we obtain quasi-invariance of the high-order Gaussian measures, along with \(L^q\) regularity on the corresponding Radon-Nikodym density, as well as new bounds on the growth of the Sobolev norms of the solutions.
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dispersive partial differential equation
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KdV
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