Global unique continuation from the boundary for a system of viscoelasticity with analytic coefficients and a memory term. (English) Zbl 1512.35133
Summary: A global unique continuation property (UCP) from the boundary for solutions to a viscoelastic system with a memory term is presented. The density and elasticity tensors are assumed to be real analytic. The tensors can be anisotropic and satisfy physically natural conditions such as full symmetry and strong convexity. The global UCP is given in terms of the travel time of the slowest wave of the viscoelastic system, which is the optimal description for the global UCP in our setup.
MSC:
| 35B60 | Continuation and prolongation of solutions to PDEs |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
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