Low regularity for the Kawahara equation on the half‐line

2021 ◽  
Author(s):  
Fengxia Liu ◽  
Boling Guo
Keyword(s):  
Half Line ◽  
Kawahara Equation ◽  
Low Regularity

scholarly journals Well posedness for the Kawahara equation on the half-line

2020 ◽  
Author(s):  
Boling Guo ◽  
fengxia liu
Keyword(s):  
Initial Data ◽  
Local Existence ◽  
Half Line ◽  
Well Posedness ◽  
Kawahara Equation ◽  
Low Regularity ◽  
Regularity Properties

We study the low-regularity properties of the Kawahara equation on the half line. We obtain the local existence, uniqueness, and continuity of the solution. Moreover, We obtain that the nonlinear terms of the solution are smoother than the initial data.

The Cauchy problem for Kawahara equation in Sobolev spaces with low regularity

2010 ◽  
Vol 33 (14) ◽  
pp. 1647-1660 ◽  
Author(s):  
Wei Yan ◽  
Yongsheng Li
Keyword(s):  
Cauchy Problem ◽  
Sobolev Spaces ◽  
Kawahara Equation ◽  
Low Regularity ◽  
The Cauchy Problem

scholarly journals Global well-posedness for the Kawahara equation with low regularity

2013 ◽  
Vol 12 (3) ◽  
pp. 1321-1339 ◽  
Author(s):  
Takamori Kato ◽  
Keyword(s):  
Well Posedness ◽  
Kawahara Equation ◽  
Low Regularity

scholarly journals The Linear Kawahara Equation on the Half-Line

2018 ◽  
Author(s):  
Carlos Frederico Vasconcellos ◽  
Patrícia Nunes Da Silva
Keyword(s):  
Half Line ◽  
Kawahara Equation

The Kawahara equation on bounded intervals and on a half-line

2015 ◽  
Vol 127 ◽  
pp. 397-412 ◽  
Author(s):  
Nikolai A. Larkin ◽  
Márcio H. Simões
Keyword(s):  
Half Line ◽  
Kawahara Equation

scholarly journals The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity

2011 ◽  
Vol 54 (5-6) ◽  
pp. 1252-1261 ◽  
Author(s):  
Wei Yan ◽  
Yongsheng Li ◽  
Xingyu Yang
Keyword(s):  
Cauchy Problem ◽  
Sobolev Spaces ◽  
Kawahara Equation ◽  
Low Regularity ◽  
The Cauchy Problem

A Paradifferential Reduction for the Gravity-capillary Waves System at Low Regularity and Applications

2017 ◽  
Vol 145 (4) ◽  
pp. 643-710 ◽  
Author(s):  
Thibault de Poyferré ◽  
Quang-Huy Nguyen
Keyword(s):  
Capillary Waves ◽  
Low Regularity
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