  We study a one-dimensional nonlinear hyperbolic-parabolic initial boundary
value problem occurring in the theory of thermoelasticity. We prove existence
and uniqueness of the local-in-time strong solution. Also, some global-in-time
weak measure valued solutions are proven to exist. To this end we introduce an
auxiliary problem with artificial viscosity and prove its global-in-time
well-posedness. Next, we show that solutions of the auxiliary problem converge,
at some short time interval to the strong solution, and to our measure valued
solution for an arbitrary time.
