|
Embedding theorems for functional spaces associated with a class of Hermitian forms
Anastasiya S. Peicheva Institute of Mathematics and Computer Science,
Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041,
Russia
Abstract:
We prove embedding theorems into the scale of Sobolev–Slobodetskii spaces for functional spaces associated with a class of Hermitian forms. More precisely we consider the Hermitian forms constructed with the use of the first order differential matrix operators with injective principal symbol. The results are valid for both coercive and non-coercive forms.
Keywords:
non-coercive Hermitian forms, embedding theorems, matrix elliptic operators.
DOI:
https://doi.org/10.17516/1997-1397-2017-10-1-83-95
Full text:
PDF file (145 kB)
References:
PDF file
HTML file
Bibliographic databases:
UDC:
517.98 Received: 28.05.2016 Received in revised form: 10.06.2016 Accepted: 14.11.2016
Language:
Citation:
Anastasiya S. Peicheva, “Embedding theorems for functional spaces associated with a class of Hermitian forms”, J. Sib. Fed. Univ. Math. Phys., 10:1 (2017), 83–95
Citation in format AMSBIB
\Bibitem{Pei17}
\by Anastasiya~S.~Peicheva
\paper Embedding theorems for functional spaces associated with a class of Hermitian forms
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 1
\pages 83--95
\mathnet{http://mi.mathnet.ru/jsfu528}
\crossref{https://doi.org/10.17516/1997-1397-2017-10-1-83-95}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412012600013}
Linking options:
http://mi.mathnet.ru/eng/jsfu528 http://mi.mathnet.ru/eng/jsfu/v10/i1/p83
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
|
Number of views: |
This page: | 109 | Full text: | 43 | References: | 25 |
|