Elliptic problems with Robin boundary coefficient-operator conditions in general Lp Sobolev spaces and applications

Автор: Cheggag M., Favini A., Labbas R., Maingot S., Medeghri A.

Журнал: Вестник Южно-Уральского государственного университета. Серия: Математическое моделирование и программирование @vestnik-susu-mmp

Рубрика: Математическое моделирование

Статья в выпуске: 3 т.8, 2015 года.

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In this paper we prove some new results on complete operational second order differential equations of elliptic type with coefficient-operator conditions, in the framework of the space Lp(0,1;X) with general pϵ(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.

Second-order abstract elliptic differential equations, robin boundary conditions, analytic semigroup

Короткий адрес: https://sciup.org/147159331

IDR: 147159331 | DOI: 10.14529/mmp150304

Список литературы Elliptic problems with Robin boundary coefficient-operator conditions in general Lp Sobolev spaces and applications

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Cheggag M., Favini A., Labbas R., Maingot S., Medeghri A. Spectral Parameter Problems with Robin Boundary Coefficient-Operator Conditions in UMD Spaces and Applications. (To appear)

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