Dept. Math, Hokkaido Univ. EPrints Server

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

Preprint Series # 689
Takamura, Hiroyuki Mixed amplitude solutions of semilinear systems of 3-dimensional wave equations. (2005);

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Abstract

In this paper we study a global in time existence of classical solutions of semilinear systems of 3-dim. 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.

Item Type:Preprint
Additional Information:60
Uncontrolled Keywords:semilinear wave equation, classical solution, global existence, blow-up
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:854