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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 1(30), Pages 53–69
DOI: https://doi.org/10.14498/vsgtu1162 (Mi vsgtu1162) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

Lp-estimates of the nontangential maximal function for solutions a second-order elliptic equation solutions

A. K. Gushchin

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, 119991, Russia
Full-text PDF (254 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1162
Abstract: The work contains the survey of results related to the study of near the boundary behavior of the solution of the Dirichlet problem with the boundary function in Lp, p>1 for a second-order elliptic equation. There are new statements and some unsolved problems in this direction.
Keywords: elliptic equation, Dirichlet problem, function space.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00178
Ministry of Education and Science of the Russian Federation 2928.2012.1
Original article submitted 13/XI/2012
revision submitted – 19/I/2013
Bibliographic databases:
Document Type: Article
UDC: 517.956.223
MSC: Primary 35D05; Secondary 35J25, 35B30, 35R05, 35B4
Language: Russian
Citation: A. K. Gushchin, “Lp-estimates of the nontangential maximal function for solutions a second-order elliptic equation solutions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 53–69
Citation in format AMSBIB
\Bibitem{Gus13}
\by A.~K.~Gushchin
\paper $L_p$-estimates of the nontangential maximal function for solutions a second-order elliptic equation solutions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 53--69
\mathnet{http://mi.mathnet.ru/vsgtu1162}
\crossref{https://doi.org/10.14498/vsgtu1162}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1162
  • https://www.mathnet.ru/eng/vsgtu/v130/p53
    • This publication is cited in the following 2 articles:
    1. A. K. Gushchin, “The boundary values of solutions of an elliptic equation”, Sb. Math., 210:12 (2019), 1724–1752  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. V. P. Mikhailov, “O suschestvovanii granichnykh znachenii u reshenii ellipticheskikh uravnenii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 97–105  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:752
    Full-text PDF :266
    References:97
    First page:2
     
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