An up-to-the boundary version of Friedrichs's lemma and applications to the linear Koiter shell model

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 4, 2001, Pages 877-895

  Blouza, Adel ^a   Le Dret, Hervé ^a  

^a UNIVERSITÉ DE ROUEN   (France)

Author keywords

Friedrichs's lemma; Koiter's model; Shell theory

Indexed keywords

EID: 0035556212     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141000380012     Document Type: Article

References (24)

1. Sobolev spaces
2. Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coeffficients réels; théorèmes d'approximation; Application à l'équation de transport
3. Méthodes d'éléments finis pour les problèmes de coques minces
4. Sur l'ellipticité du modèle linéaire de toques de W.T. Koiter
5. Existence et unicité pour le modèle de Koiter pour une coque peu régulière
6. Existence and uniqueness for the linear Koiter model for shells with little regularity
7. n
8. Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells
9. A few remarks on ordinary differential equations
10. A mixed finite element for shell model with free edge boundary conditions. Part 1. The mixed variational formulation
11. Ordinary differential equations, transport theory and Sobolev spaces
12. Spectral theory and differential operators
13. On regularity of the boundary in the theory of Sobolev spaces
14. Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition
15. Elliptic problems in nonsmooth domains
16. Weak and strong extensions of differential operators
17. The analysis of linear partial differential operators. III. Pseudodifferential operators
18. Approximation par éléments finis conformes d'un modèle de coques peu régulières
19. Conforming finite element approximation for shells with little regularity
20. On the foundations of the linear theory of thin elastic shells. I, II
21. Singular integrals and differentiability properties of functions