On Sommerfeld's half-plane problem for the equations of linear thermoelasticity

The Sommerfeld screen problem—well known by many publications studying the several mathematical and physical aspects—is generalized to the linear thermoelastic equations. We derive representation formulas of the solution from the data in the whole plane containing the screen. The corresponding boundary integral equations of Wiener-Hopf type are presented and we obtain important information concerning the factorization of the Wiener-Hopf operators.