A class of non-analytic functions for the global solvability of Kirchhoff equation. (April 2015)

• Record Type: Journal Article
• Authors: Hirosawa, Fumihiko
• Is Part Of: Nonlinear analysis. Volume 116(2015)
• Page Start: 37
• Page End: 63
• Publication Date: 2015-04
• Subjects: 35L70 -- 35L15; Kirchhoff equation -- Global solvability -- Ultradifferentiable class -- Manfrin's class; 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.2014.12.016
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider the global solvability to the Cauchy problem of Kirchhoff equation with generalized classes of Manfrin's class. Manfrin's class is a subclass of Sobolev space, but we shall extend this class as a subclass of the ultradifferentiable class, and we succeed to prove the global solvability of Kirchhoff equation with large data in wider classes from the previous works.