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On the regularity of elasticity problems with piecewise analytic data. (English) Zbl 0790.35028
The authors present regularity results for solutions of plane elasticity in a polygon, in the frames of countably weighted Sobolev spaces introduced by the authors previously: the spaces of functions the weighted norms of whose derivatives are controlled by the series \(d^ k\cdot k!\). These results are very useful for designing and analyzing the \(p\) and \(h-p\) version of the finite element solutions of the elasticity problems.
Reviewer: H.Ding (Beijing)

MSC:
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
35D10 Regularity of generalized solutions of PDE (MSC2000)
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
35B65 Smoothness and regularity of solutions to PDEs
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