Selfadjoint Extensions for the Elasticity System in Shape Optimization
Volume 52 / 2004
Bulletin Polish Acad. Sci. Math. 52 (2004), 237-248
MSC: Primary 35B40, 35C20; Secondary 49Q10, 74P15.
DOI: 10.4064/ba52-3-4
Abstract
Two approaches are proposed to modelling of topological variations in elastic solids. The first approach is based on the theory of selfadjoint extensions of differential operators. In the second approach function spaces with separated asymptotics and point asymptotic conditions are introduced, and a variational formulation is established. For both approaches, accuracy estimates are derived.
