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.

UDC: 517.98

Received: 28.05.2016
Received in revised form: 10.06.2016
Accepted: 14.11.2016

Language: English

DOI: 10.17516/1997-1397-2017-10-1-83-95

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