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 J. Sib. Fed. Univ. Math. Phys., 2017, Volume 10, Issue 1, Pages 83–95 (Mi jsfu528)

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.

 Funding Agency Grant Number Ministry of Education and Science of the Russian Federation NSh-9149.2016.1 The work was supported by the Russian President’s grant for the support of leading scientific schools NSh.-9149.2016.1.

DOI: https://doi.org/10.17516/1997-1397-2017-10-1-83-95

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Bibliographic databases:

UDC: 517.98
Received in revised form: 10.06.2016
Accepted: 14.11.2016
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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
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