The global solution and blow-up phenomena to a modified Novikov equation

被引：4

作者：

Lai, Shaoyong ^{[1
]}

Yan, Haibo ^{[1
]}

Li, Nan ^{[1
]}

机构：

[1] Southwestern Univ Finance & Econ, Dept Appl Math, Chengdu 610074, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

global existence; strong solutions; blow-up result; CAUCHY-PROBLEM; WELL-POSEDNESS; WEAK SOLUTIONS; EXISTENCE;

D O I：

10.1186/1687-2770-2014-16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A modified Novikov equation with symmetric coefficients is investigated. Provided that the initial value u(0) is an element of H-s(R) (s > 3/2), (1 - partial derivative(2)(X))u(0) does not change sign and the solution u itself belongs to L-1(R), the existence and uniqueness of the global strong solutions to the equation are established in the space C([0, infinity); H-s(R)) boolean AND C-1([0, infinity); Hs-1(R)). A blow-up result to the development of singularities in finite time for the equation is acquired.

引用

页数：9

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