Abstract :
We study the long time behavior of solutions for damped wave equations with absorption. These equations are generally accepted as models of wave propagation in heterogeneous media with space–time dependent friction a(t,x)uta(t,x)ut and nonlinear absorption |u|p−1u|u|p−1u (Ikawa (2000) [17]). We consider 1
Keywords :
Nonlinear dissipative wave equation , absorption , Energy decay , L2L2 and Lp+1Lp+1 estimates
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications