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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2015, Volume 8, Issue 3, Pages 56–77
DOI: https://doi.org/10.14529/mmp150304 (Mi vyuru276) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modelling

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

M. Cheggaga, A. Favinib, R. Labbasc, S. Maingotc, A. Medeghrid

a Polytechnic National School of Oran, Oran, Algeria
b University of Bologna, Bologna, Italy
c University of Le Havre, Le Havre, France
d University of Mostaganem, Mostaganem, Algeria
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DOI: https://doi.org/10.14529/mmp150304
Abstract: 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 $L^{p}(0,1; X)$ with general $p\in (1,+\infty)$, $X$ 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.
Keywords: second-order abstract elliptic differential equations; Robin boundary conditions; analytic semigroup.
Received: 25.12.2014
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35J20, 35J40, 47D06
Language: English
Citation: M. Cheggag, A. Favini, R. Labbas, S. Maingot, A. Medeghri, “Elliptic problems with Robin boundary coefficient-operator conditions in general $L_p$ Sobolev spaces and applications”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:3 (2015), 56–77
Citation in format AMSBIB
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\paper Elliptic problems with Robin boundary coefficient-operator conditions in general $L_p$ Sobolev spaces and applications
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\issue 3
\pages 56--77
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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