Existence and uniqueness of a solution to a singular thermoelastic contact problem

Abstract

We consider a nonlinear singular evolution problem arising from thermoelastic contact. We first prove the existence of a unique solution to the perturbed problem, then we pass to the limit to obtain a solution of the original problem in a weighted Soblev space. The result is applied to a thermoelstic contact problem with radial symmetry.

Keywords:

• Existence and uniqueness
• weighted Sobolev space
• radially symmetric thermoelastic contact

^∗Present Address: Department of Mathematics, Michigan State University, Esst Lansing, MI 48824, USA

^∗Present Address: Department of Mathematics, Michigan State University, Esst Lansing, MI 48824, USA

Notes

^∗Present Address: Department of Mathematics, Michigan State University, Esst Lansing, MI 48824, USA