Existence and exponential decay for contact problems in thermoelasiticity

Abstract

In this paper we study the existence of solutions of the contact problem for the one dimensional thermoelastic system

The elastic medium is fixed at x=0 and unilaterally constrained at x=1. We prove the exponential decay of solutions when f=h=0. The physical parameters p,c,η,k and are positive funcitons.

Keywords:

• Contact problem
• exponential decay
• Signorini's problem

AMS:

• 35B40
• 35L70
• 73B30
• 34E0

^*Partially supported by CNP_q

^†Visiting researcher at LNCC/CNP_q

^*Partially supported by CNP_q

^†Visiting researcher at LNCC/CNP_q

Notes

^*Partially supported by CNP_q

^†Visiting researcher at LNCC/CNP_q