An equivalent formulation for variational problems with constraints

• Autores: Gabriel N. Gatica
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 8, Nº. 16, 1990, págs. 17-39
• Idioma: inglés
• DOI: 10.22199/S07160917.1990.0016.00002
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• Resumen

  • The main purpose of this paper is to reconsider the studying of existence, uniqueness and approximation of solution to a variational problem with constraints. Under certain assumptions on the bilinear forms involved it is proved that the original formulation is equivalent to a simplified version of it on smaller spaces. By applying the usual Brezzi's theory to this new formulation a modified Babuska-Brezzi condition is deduced.

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