Journal of Siberian Federal University. Mathematics & Physics / Embedding Theorems for Functional Spaces Associated with a Class of Hermitian Forms

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (1)
Authors
Peicheva, Anastasiya S.
Contact information
Peicheva, Anastasiya S.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords
non-coercive Hermitian forms; embedding theorems; matrix elliptic operators
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

Pages
83–95
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/30749