Semilinear wave equations of derivative type with spatial weights in one space dimension. (August 2023)

• Record Type: Journal Article
• Authors: Kitamura, Shunsuke; Morisawa, Katsuaki; Takamura, Hiroyuki
• Is Part Of: Nonlinear analysis. Volume 72(2023)
• Publication Date: 2023-08
• Subjects: Semilinear wave equation -- One dimension -- Classical solution -- Lifespan; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103764
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper is devoted to the initial value problems for semilinear wave equations of derivative type with spatial weights in one space dimension. The lifespan estimates of classical solutions are quite different from those for nonlinearity of unknown function itself as the global-in-time existence can be established by spatial decay.