scholarly journals Local well-posedness of the fifth-order KdV-type equations on the half-line

2019 ◽  
Vol 18 (5) ◽  
pp. 2607-2661 ◽  
Author(s):  
Márcio Cavalcante ◽  
◽  
Chulkwang Kwak ◽  
Keyword(s):  
Half Line ◽  
Well Posedness ◽  
Kdv Type Equations ◽  
Fifth Order

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.

Global Well-Posedness for the Fifth-Order KdV Equation in $$H^{-1}(\pmb {\mathbb {R}})$$

Annals of PDE ◽  
2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Bjoern Bringmann ◽  
Rowan Killip ◽  
Monica Visan
Keyword(s):  
Kdv Equation ◽  
Well Posedness ◽  
Fifth Order

Well-posedness and regularity of the fifth order Kadomtsev–Petviashvili I equation in the analytic Bourgain spaces

2020 ◽  
Vol 66 (2) ◽  
pp. 255-272 ◽  
Author(s):  
A. Boukarou ◽  
Kh. Zennir ◽  
K. Guerbati ◽  
G. G. Svetlin
Keyword(s):  
Well Posedness ◽  
Fifth Order
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