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);
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.
|Uncontrolled Keywords:||semilinear wave equation, classical solution,
global existence, blow-up|
|Subjects:||35-xx PARTIAL DIFFERENTIAL EQUATIONS|