New non degenerate invariant measures for the Benjamin-Ono equation
Nikolay Tzvetkov
TL;DR
This paper leverages recent mathematical techniques to construct new non-degenerate invariant measures for the Benjamin-Ono equation in Sobolev spaces, enhancing understanding of its invariant measures.
Contribution
It introduces novel non-degenerate invariant measures for the Benjamin-Ono equation using recent advances by Gérard, Kappeler, and Topalov.
Findings
Construction of new invariant measures for Benjamin-Ono
Extension of invariant measure theory to Sobolev spaces s > -1/2
Application of recent mathematical frameworks to PDEs
Abstract
We show that the recent work by G{\'e}rard-Kappeler-Topalov can be used in order to construct new non degenerate invariant measures for the Benjamin-Ono equation on the Sobolev spaces H s , s > --1/2.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Mathematical Analysis and Transform Methods