A PRIORI ESTIMATES FOR THE FIFTH-ORDER MODIFIED KDV EQUATIONS IN BESOV SPACES WITH LOW REGULARITY

Author:

Chen Mingjuan, ,Shan Minjie,

Publisher

Wilmington Scientific Publisher, LLC

Subject

General Mathematics

Reference14 articles.

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M. Ablowitz, D. Kaup, A. Newell and H. Segur, The inverse scattering transform-Fourier analysis for nonlinear problems, Stud. Appl. Math., 1974, 53(4), 249-315.

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B. Bringmann, R. Killip and M. Vişan, Global well-posedness for the fifth-order KdV equation in $H^{-1}(\mathbb{R})$, Ann. PDE, 2021, 7(2), 46.

3.

J. Colliander, M. Keel, G. Staffilani, H. Takaoka and T. Tao, Sharp global well-posedness for KdV and modified KdV on $\mathbb{R}$ and $\mathbb{T}$, J. Amer. Math. Soc., 2003, 16(3), 705-749.

4.

B. H. Griffiths, R. Killip and M. Vişan, Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb{R})$, Preprint, 2020. arXiv: 2003.05011.

5.

M. Ito, An extension of nonlinear evolution equations of the KdV (mKdV) type to higher orders, J. Phys. Soc. Jpn., 1980, 49(2), 771-778.

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