On degenerate elliptic equations of high order and pseudodifferential operators with degeneration
- Autores: Baev A.1, Kovalevskii R.1, Kobylinskii P.1
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Afiliações:
- Voronezh State University
- Edição: Volume 94, Nº 3 (2016)
- Páginas: 659-662
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224537
- DOI: https://doi.org/10.1134/S1064562416060168
- ID: 224537
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Resumo
Problems for high-order degenerate elliptic equations in a half-space are studied. Coercive a priori estimates and existence theorems for solutions of such problems in special weighted Sobolev-type spaces are obtained. The norms in these spaces are defined with the help of a special integral transform. Pseudodifferential operators with degeneration constructed using a special integral transform are studied. Pseudodifferential operators with degeneration are used to factorize the symbol of a high-order degenerate elliptic operator and to construct a separating operator of the Leray–Sakamoto type.
Sobre autores
A. Baev
Voronezh State University
Autor responsável pela correspondência
Email: alexsandrbaev@mail.ru
Rússia, Voronezh, 394006
R. Kovalevskii
Voronezh State University
Email: alexsandrbaev@mail.ru
Rússia, Voronezh, 394006
P. Kobylinskii
Voronezh State University
Email: alexsandrbaev@mail.ru
Rússia, Voronezh, 394006