Global strong solution of fourth order nonlinear wave equation. (August 2020)

• Record Type: Journal Article
• Authors: Wang, Yitian; Liu, Shilong; Shao, Kun; Yang, Chao; Huang, Shaobin; Li, Wenke
• Is Part Of: Nonlinear analysis. Volume 197(2020)
• Publication Date: 2020-08
• Subjects: Gradually smoothing method -- Global solution -- Fourth order wave equation -- Strong solution; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111854
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we consider a class of fourth order nonlinear wave equation in a bounded domain with smooth boundary, and discuss the existence and uniqueness of the global strong solutions by gradually smoothing method.