Mixed amplitude solutions of semilinear systems of 3-dimensional wave equations

Article type: Research Article

Authors: Takamura, Hiroyuki

Affiliations: Department of Complex Systems, Future University-Hakodate, 116-2 Kamedanakano-cho, Hakodate, Hokkaido 041-8655, Japan E-mail: takamura@fun.ac.jp

Abstract: In this paper we study a global in time existence of classical solutions of semilinear systems of 3-dimensional wave equations. We see that one component of the global in time solution can be arbitrarily large if another component is small enough according to some balance of each amplitude. Also its sharpness is discussed. This is a specific nature of strongly coupled systems.

Keywords: semilinear wave equation, classical solution, global existence, blow-up

Journal: Asymptotic Analysis, vol. 45, no. 1-2, pp. 99-112, 2005