Quasi-geostrophic equations, nonlinear Bernstein inequalities and \(\alpha\)-stable processes (Q1759760)
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scientific article; zbMATH DE number 6109708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-geostrophic equations, nonlinear Bernstein inequalities and \(\alpha\)-stable processes |
scientific article; zbMATH DE number 6109708 |
Statements
Quasi-geostrophic equations, nonlinear Bernstein inequalities and \(\alpha\)-stable processes (English)
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22 November 2012
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Summary: We prove some functional inequalities for the fractional differentiation operator \((-\Delta)^\alpha\) through the formalism of semi-groups. This gives us an estimate of the regularity of Marchand's weak solutions for the dissipative quasi-geostrophic equation.
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Besov spaces
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semi-groups
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Bernstein inequalities
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quasi-geostrophic equation
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stratified Lie groups
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\(\alpha\)-stable processes
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