In this paper we prove some new results on complete operational second order differential equations of elliptic type with coeficient-operator conditions, in the framework of the space Lp(0; 1;X) with general p ∈ (1;+∞), X being a UMD Banach space. Existence, uniqueness and optimal regularity of the classical solution are proved. This paper improves and completes naturally our last two works on this problematic.

Cheggag, M., Favini, A., Labbas, R., Maingot, S., Medeghri, A. (2015). Elliptic problems with robin boundary coefficient-operator conditions in general L<sup>p</sup> sobolev spaces and applications. VESTNIK UZNO-URALʹSKOGO GOSUDARSTVENNOGO UNIVERSITETA. SERIA, MATEMATICESKOE MODELIROVANIE I PROGRAMMIROVANIE, 8(3), 56-77 [10.14529/mmp150304].

Elliptic problems with robin boundary coefficient-operator conditions in general Lp sobolev spaces and applications

FAVINI, ANGELO;
2015

Abstract

In this paper we prove some new results on complete operational second order differential equations of elliptic type with coeficient-operator conditions, in the framework of the space Lp(0; 1;X) with general p ∈ (1;+∞), X being a UMD Banach space. Existence, uniqueness and optimal regularity of the classical solution are proved. This paper improves and completes naturally our last two works on this problematic.
2015
Cheggag, M., Favini, A., Labbas, R., Maingot, S., Medeghri, A. (2015). Elliptic problems with robin boundary coefficient-operator conditions in general L<sup>p</sup> sobolev spaces and applications. VESTNIK UZNO-URALʹSKOGO GOSUDARSTVENNOGO UNIVERSITETA. SERIA, MATEMATICESKOE MODELIROVANIE I PROGRAMMIROVANIE, 8(3), 56-77 [10.14529/mmp150304].
Cheggag, M.; Favini, A.; Labbas, R.; Maingot, S.; Medeghri, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/516537
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