a generalized novikov equation
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scholarly journals The Cauchy problem for a generalized Novikov equation

2017 ◽  
Vol 37 (6) ◽  
pp. 3503-3519 ◽  
Author(s):  
Rudong Zheng ◽  
◽  
Zhaoyang Yin ◽  
Keyword(s):  
Cauchy Problem ◽  
The Cauchy Problem ◽  
Novikov Equation ◽  
A Generalized Novikov Equation

The Cauchy Problem on a Generalized Novikov Equation

2016 ◽  
Vol 41 (4) ◽  
pp. 1859-1877 ◽  
Author(s):  
Kunquan Li ◽  
Meijing Shan ◽  
Chongbin Xu ◽  
Zhengguang Guo
Keyword(s):  
Cauchy Problem ◽  
The Cauchy Problem ◽  
Novikov Equation ◽  
A Generalized Novikov Equation

scholarly journals The Local Strong and Weak Solutions for a Generalized Novikov Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Meng Wu ◽  
Yue Zhong
Keyword(s):  
Sobolev Space ◽  
Differential Equations ◽  
Strong Solution ◽  
Weak Solutions ◽  
Lower Order ◽  
Well Posedness ◽  
Existence Of Weak Solutions ◽  
Abstract Differential Equations ◽  
Novikov Equation ◽  
A Generalized Novikov Equation

The Kato theorem for abstract differential equations is applied to establish the local well-posedness of the strong solution for a nonlinear generalized Novikov equation in spaceC([0,T),Hs(R))∩C1([0,T),Hs-1(R))withs>(3/2). The existence of weak solutions for the equation in lower-order Sobolev spaceHs(R)with1≤s≤(3/2)is acquired.

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