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.
| Original language | English |
|---|---|
| Pages (from-to) | 99-112 |
| Number of pages | 14 |
| Journal | Asymptotic Analysis |
| Volume | 45 |
| Issue number | 1-2 |
| Publication status | Published - 2005 |
Keywords
- Blow-up
- Classical solution
- Global existence
- Semilinear wave equation