Geodesic
Selfadjoint Extensions for the Elasticity System in Shape Optimization
Serguei A. Nazarov1 ; Jan Sokołowski2
1 Institute of Mechanical Engineering Problems Laboratory of Mathematical Methods Russian Academy of Sciences V.O. Bol'shoi 61 199178 St. Petersburg, Russia
2 Institut Elie Cartan Laboratoire de Mathématiques Université Henri Poincaré Nancy I B.P. 239 54506 Vandœuvre-lès-Nancy Cedex, France
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 3, pp. 237-248 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/ba52-3-4
Keywords: approaches proposed modelling topological variations elastic solids first approach based theory selfadjoint extensions differential operators second approach function spaces separated asymptotics point asymptotic conditions introduced variational formulation established approaches accuracy estimates derived

Serguei A. Nazarov 1 ; Jan Sokołowski 2

1 Institute of Mechanical Engineering Problems Laboratory of Mathematical Methods Russian Academy of Sciences V.O. Bol'shoi 61 199178 St. Petersburg, Russia
2 Institut Elie Cartan Laboratoire de Mathématiques Université Henri Poincaré Nancy I B.P. 239 54506 Vandœuvre-lès-Nancy Cedex, France 
@article{10_4064_ba52_3_4,
     author = {Serguei A. Nazarov and Jan Soko{\l}owski},
     title = {Selfadjoint {Extensions} for the {Elasticity} {System
} in {Shape} {Optimization}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {237--248},
     year = {2004},
     volume = {52},
     number = {3},
     doi = {10.4064/ba52-3-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba52-3-4/}
}
TY  - JOUR
AU  - Serguei A. Nazarov
AU  - Jan Sokołowski
TI  - Selfadjoint Extensions for the Elasticity System
 in Shape Optimization
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2004
SP  - 237
EP  - 248
VL  - 52
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba52-3-4/
DO  - 10.4064/ba52-3-4
LA  - en
ID  - 10_4064_ba52_3_4
ER  - 
%0 Journal Article
%A Serguei A. Nazarov
%A Jan Sokołowski
%T Selfadjoint Extensions for the Elasticity System
 in Shape Optimization
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2004
%P 237-248
%V 52
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ba52-3-4/
%R 10.4064/ba52-3-4
%G en
%F 10_4064_ba52_3_4
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) no. 3, pp. 237-248. doi: 10.4064/ba52-3-4

Cité par Sources :