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

Abstract

We study the existence and uniqueness of global strong solutions and the exponential decay of the energy for the following non linear damped hyperbolic equation:

where ω i and g is a C¹ function satisfying

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