A Nonlocal Parabolic System In Linear Thermoelasticity

ABSTRACT

A system of parabolic integro-differential equations arising in the study of thermoelastic contact of two rods is considered. The questions of existence, uniqueness and continuous dependence of the solution upon the data are demonstrated via the theoretical potential solution representation technique and theory of Volterra equations of second kind. An application to linear thermoelasticity is also given.