A Quasistatic Contact Problem in Thermoelasticity with a Radiation Condition for the Temperature

An abstract existence theorem is proved for variational inequalities of monotone operators with a nonlinear perturbation. It is used to prove the existence of a strong solution to the problem of quasistatic, one dimensional contact in linearized thermoelasticity. The problem, after reformulation, consists of the heat equation with a nonlocal and nonlinear term. The uniqueness and stability of the solution are also established.