GAUSSIAN MEASURES ASSOCIATED TO THE HIGHER ORDER CONSERVATION LAWS OF THE BENJAMIN-ONO EQUATION

Nikolay TZVETKOV; Nicola VISCIGLIA

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GAUSSIAN MEASURES ASSOCIATED TO THE HIGHER ORDER CONSERVATION LAWS OF THE BENJAMIN-ONO EQUATION

机译：与Benjamin-ono方程的高阶守恒律有关的高斯测度

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Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they'are indeed invariant by the flow of the Benjamin-Ono equation.

机译：受Zhidkov在KdV方程上的工作的启发，我们执行了与本杰明-奥诺方程的高阶守恒律相关的加权高斯测度的构造。由此产生的测度得到了规律性不断提高的Sobolev空间的支持。我们还证明了在这些措施的支持下的性质，这导致人们猜想它们确实因本杰明-奥诺方程的流动而不变。

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《Annales scientifiques de l'Ecole normale superieure》 |2013年第2期|共51页
作者
Nikolay TZVETKOV; Nicola VISCIGLIA;
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正文语种 eng
中图分类自然科学总论;
关键词
GAUSSIAN MEASURES; THE HIGHER ORDER; CONSERVATION LAWS;

机译：高斯测度;高阶;守恒律;

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专利

1. GAUSSIAN MEASURES ASSOCIATED TO THE HIGHER ORDER CONSERVATION LAWS OF THE BENJAMIN-ONO EQUATION [J] . Nikolay TZVETKOV, Nicola VISCIGLIA Annales scientifiques de l'Ecole normale superieure . 2013,第2期

机译：与Benjamin-ono方程的高阶守恒律有关的高斯测度
2. Hamilton-Jacobi equations in space of measures associated with a system of conservation laws [J] . Feng J., Nguyen T. Journal de Mathematiques Pures et Appliquees . 2012,第4期

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3. Analysis of a coupled system of kinetic equations and conservation laws: Rigorous derivation and existence theory via defect measures [J] . Tidriri M Transactions of the American Mathematical Society . 2005,第6期

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5. NONLOCAL LINEAR SECOND-ORDER "EQUATIONS OF MOTION" AND THEIR BALANCE LAWS AND CONSERVATION LAWS: A TECHNIQUE BYPASSING LAGRANGIANS. [D] . GOULD, LAURENCE IRA. 1982

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6. Higher Dimensional Gaussian-Type Solitons of Nonlinear Schrödinger Equation with Cubic and Power-Law Nonlinearities in PT-Symmetric Potentials [O] . Yi-Xiang Chen, Fang-Qian Xu -1

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7. Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation [O] . Tzvetkov, N., Visciglia, N. 2012

机译：与高阶守恒定律相关的高斯测度本杰明 - 奥诺方程

GAUSSIAN MEASURES ASSOCIATED TO THE HIGHER ORDER CONSERVATION LAWS OF THE BENJAMIN-ONO EQUATION

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