Th. Qin, GLOBAL SOLVABILITY OF NONLINEAR-WAVE EQUATION WITH A VISCOELASTIC BOUNDARY-CONDITION, Chinese annals of mathematics. Ser. B, 14(3), 1993, pp. 335-346
The paper deals with the global solvability of nonlinear wave equation
with a viscoelastic boundary condition. The problem is a mathematical
mode for nonlinare one-dimensional motion of an elastic bar connected
with a viscoelastic element at one end of the bar. Under some physica
lly reasonable assumptions, the boundary condition is dissipative and
the existence of global smooth solution of the problem is proved for s
mall data.