The global solution and blow-up phenomena to a modified Novikov equation
Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu, 610074, China
Boundary Value Problems 2014, 2014:16 doi:10.1186/1687-2770-2014-16Published: 15 January 2014
A modified Novikov equation with symmetric coefficients is investigated. Provided that the initial value (), does not change sign and the solution u itself belongs to , the existence and uniqueness of the global strong solutions to the equation are established in the space . A blow-up result to the development of singularities in finite time for the equation is acquired.
MSC: 35G25, 35L05.