Selfadjoint Extensions for the Elasticity System in Shape Optimization

• Autorzy: Serguei A. Nazarov , Jan Sokołowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 74P15: Topological methods
• 35B40: Asymptotic behavior of solutions
• 49Q10: Optimization of shapes other than minimal surfaces
• 35C20: Asymptotic expansions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 3
• Strony: 237-248

Daty

wydano

2004

Twórcy

autor

Serguei A. Nazarov

• Institute of Mechanical Engineering Problems, Laboratory of Mathematical Methods, Russian Academy of Sciences, V.O. Bol'shoi 61, 199178 St. Petersburg, Russia

autor

Jan Sokołowski

• Institut Elie Cartan, Laboratoire de Mathématiques, Université Henri Poincaré Nancy I, B.P. 239, 54506 Vandœuvre-lès-Nancy Cedex, France

Identyfikatory

DOI

10.4064/ba52-3-4