Existence of Global and Bounded Solutions for Damped Sublinear Wave Equations
We study the initial-boundary value problem for the sublinear wave equations with a linear dampping : u" - △u - ω△u' + δu' = γlulp-2u with the homogeneous Dirichlet boundary condition and H10(Ω) x L2(Ω)-data condition under ω ≥ 0 and δ > -ωλ1. When 1<p<2, we show that the (local) weak solutions are global and uniformly bounded in time t≥0.
- Journal of mathematics, the University of Tokushima
Journal of mathematics, the University of Tokushima (42), 19-26, 2008-12