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 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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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. 
@article{BUMI_2007_8_10B_3_a2,
     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},
     year = {2007},
     volume = {Ser. 8, 10B},
     number = {3},
     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/