Existence of global solutions to a quasilinear wave equation with general nonlinear damping.
We establish the blow-up of solutions to the Kirchhoff equation of q-Laplacian type with a nonlinear dissipative term , x ∈ Ω, t > 0.
We consider the Bresse system in bounded domain with delay terms in the internal feedbacks and prove the global existence of its solutions in Sobolev spaces by means of semigroup theory under a condition between the weight of the delay terms in the feedbacks and the weight of the terms without delay. Furthermore, we study the asymptotic behavior of solutions using multiplier method.
Page 1