Persistence properties for the two-component Novikov equation in weighted Lp spaces. Issue 11 (18th August 2019)

• Record Type: Journal Article
• Authors: Zhou, Shouming; Yang, Li
• Is Part Of: Applicable analysis. Volume 98:Issue 11(2019)
• Page Start: 2105
• Page End: 2117
• Publication Date: 2019-08-18
• Subjects: Two-component Novikov equation -- persistence properties -- weighted Lp spaces; 35G25 -- 35L05 -- 35Q50; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2018.1448076
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: This paper deals with the Cauchy problem of two-component Novikov equation, and the system was proposed by Popowicz. We mainly investigate the persistence properties of strong solutions in weighted L ϕ p : = L p ( R, ϕ p ( x ) d x ) spaces for a large class of moderate weights. Our results extends the work of Brandolese on persistence properties of the Camassa-Holm equation to more general system with cubic nonlinearity and interaction between the two components.