Geodesic
Deficient Coerciveness Estimate for an Abstract Differential Equation with a Parameter Dependent Boundary Conditions
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 535-547

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper we consider an abstract elliptic differential problem where the equation and the boundary conditions may contain a spectral parameter. We first prove that this problem generates an isomorphism between appropriate spaces and we establish a more precise estimate called coerciveness estimate with defect. The results obtained are applied to study some classes of elliptic, and also possibly degenerate, problems. 
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     author = {Aibeche, Aissa and Favini, Angelo and Mezoued, Chahrazed},
     title = {Deficient {Coerciveness} {Estimate} for an {Abstract} {Differential} {Equation} with a {Parameter} {Dependent} {Boundary} {Conditions}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {535--547},
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     volume = {Ser. 8, 10B},
     number = {3},
     year = {2007},
     zbl = {1129.35027},
     mrnumber = {2351540},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a2/}
}
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Aibeche, Aissa; Favini, Angelo; Mezoued, Chahrazed. Deficient Coerciveness Estimate for an Abstract Differential Equation with a Parameter Dependent Boundary Conditions. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 535-547. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a2/