Global smooth solutions to a class of one-dimensional hyperbolic problems with boundary damping
Global smooth solutions to a class of one-dimensional hyperbolic problems with boundary damping
In this paper an initial--boundary-value problem for a nonlinear string (or wave) equation with nonclassical boundary conditions is considered. One end of the string is assumed to be fixed and the other end of the string is attached to a dashpot system, where the (positive) damping is generated. Existence, uniqueness, …