Analytic-Gevrey well-posedness of generalized Benjamin-Ono equation

被引：0

作者：

Boukarou, Aissa ^{[1
]}

Guerbati, Kaddour ^{[1
]}

Zennir, Khaled ^{[2
]}

机构：

[1] Univ Ghardaia, Lab Math & Sci Appl, Ghardaia 47000, Algeria

[2] Qassim Univ, Coll Sci & Arts, Dept Math, Ar Rass, Saudi Arabia

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2022年 / 25卷 / 04期

关键词：

Benjamin-Ono equation; Well-posedness; Analytic Gevrey spaces; Bourgain spaces; Bilinear estimates; Gevrey time regularity; SOLITARY WAVES; REGULARITY; EXISTENCE; DECAY;

D O I：

10.1080/09720502.2021.1917062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under data in analytic Gevrey spaces on the line, we show the existence of one-dimensional generalization of the Benjamin-Ono equation. We also deal the regularity in t and x, where the solution will be in G(sigma) in x and belongs to G((1+alpha)sigma) near 0 in t. The proof is based on [18] and inspired from the ideas introduced in [3].

引用

页码：1037 / 1057

页数：21

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