Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms
An initial boundary value problem for the weakly damped wave equation of Kirchhoff type with nonlinear damping and source terms is considered. Under special assumptions the existence and uniqueness of a local weak solution as well as a result regarding the asymptotic behavior of solutions are proved. Necessary conditions for the existence of a global solution are shown.
scientific article; zbMATH DE number 5629210