On degenerate elliptic equations of high order and pseudodifferential operators with degeneration
- Authors: Baev A.D.1, Kovalevskii R.A.1, Kobylinskii P.A.1
-
Affiliations:
- Voronezh State University
- Issue: Vol 94, No 3 (2016)
- Pages: 659-662
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224537
- DOI: https://doi.org/10.1134/S1064562416060168
- ID: 224537
Cite item
Abstract
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.
About the authors
A. D. Baev
Voronezh State University
Author for correspondence.
Email: alexsandrbaev@mail.ru
Russian Federation, Voronezh, 394006
R. A. Kovalevskii
Voronezh State University
Email: alexsandrbaev@mail.ru
Russian Federation, Voronezh, 394006
P. A. Kobylinskii
Voronezh State University
Email: alexsandrbaev@mail.ru
Russian Federation, Voronezh, 394006