Selfadjoint Extensions for the Elasticity System in Shape Optimization
Serguei A. Nazarov ; Jan Sokołowski
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 237-248 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280779 
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Serguei A. Nazarov; Jan Sokołowski. Selfadjoint Extensions for the Elasticity System in Shape Optimization. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 237-248. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-4/