Email this article Some boundary value problems for pseudodifferential equations with degeneration
- Authors: Baev A.D.1, Kobilinskiy P.A.1
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Affiliations:
- Voronezh State University
- Issue: Vol 93, No 1 (2016)
- Pages: 49-51
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223368
- DOI: https://doi.org/10.1134/S106456241601018X
- ID: 223368
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Abstract
Boundary value problems for a new class of degenerate pseudodifferential equations containing a variable-symbol degenerate pseudodifferential operator based on a special integral transform and the first derivative with respect to one of the variables are studied. Existence theorems for these problems are proved. A priori estimates for their solutions are obtained in special weighted spaces similar to Sobolev ones.
About the authors
A. D. Baev
Voronezh State University
Author for correspondence.
Email: alexandrbaev@mail.ru
Russian Federation, Universitetskaya pl. 1, Voronezh, 394006
P. A. Kobilinskiy
Voronezh State University
Email: alexandrbaev@mail.ru
Russian Federation, Universitetskaya pl. 1, Voronezh, 394006
