Breakdown of solutions to nonlinear wave equation with a viscoelastic boundary condition

Abstract EN

Boundary value problem of nonlinear wave equation with a viscoelastic boundary condition is studied.

Breakdown of solutions to the problem with small initial data are shown if J(0) =≠ 0 or J(0) = J'(0) = 0, where J(t) is the creep function of the viscoelastic element