On the local regularity of solutions in linear viscoelasticity of several space dimensions. (English) Zbl 0811.35148
Summary: We discuss the local regularity of solutions of a nonlocal system of equations which describe the motion of a viscoelastic medium in several space dimensions. Our main tool is the microlocal analysis combined with MacCamy’s trick and the argument of the classical energy method.
MSC:
| 35Q72 | Other PDE from mechanics (MSC2000) |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35L99 | Hyperbolic equations and hyperbolic systems |
| 74Hxx | Dynamical problems in solid mechanics |
Keywords:
local regularity; motion of a viscoelastic medium; microlocal analysis; classical energy methodReferences:
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