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Eurasian Mathematical Journal, 2016, Volume 7, Number 3, Pages 100–103 (Mi emj235)  
Short communications

On relationship between the resolvent convergence and the smoothness of solutions to boundary value problems

I. V. Tsylin

Department of Mathematical Analysis and Function Theory, Faculty of Physics, Mathematics and Natural Sciences, RUDN University, 6 Miklukho-Maklay St., 117198 Moscow, Russia
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Abstract: Relationship between the resolvent convergence property and the smoothness of solutions to boundary value problems are studied. The results use pointwise multipliers and $B$-spaces.
Keywords and phrases: elliptic operators, resolvent convergence, regularity up to the boundary.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.a03.21.0008
The research was financially supported by the Ministry of Education and Science of the Russian Federation (the programme of improving the competitiveness of the RUDN University among the world’s leading research and education centers in the 2016–2020, agreement 02.a03.21.0008).
Received: 01.06.2016
Bibliographic databases:
Document Type: Article
MSC: 35J15, 35J25, 47B38
Language: English
Citation: I. V. Tsylin, “On relationship between the resolvent convergence and the smoothness of solutions to boundary value problems”, Eurasian Math. J., 7:3 (2016), 100–103
Citation in format AMSBIB
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\by I.~V.~Tsylin
\paper On relationship between the resolvent convergence and the smoothness of solutions to boundary value problems
\jour Eurasian Math. J.
\yr 2016
\vol 7
\issue 3
\pages 100--103
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3581186}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391008000008}
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