Well-Posedness of the Mixed Problem for the Degenerate Multi-Dimensional Elliptic Equations
Aldashev S. Tanirbergen A.
July 2022Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Azerbaijan Journal of Mathematics
2022#12Issue 261 - 71 pp.
The boundary-value problems for elliptic PDEs are of fundamental importance for mathematical physics. Some of their applications lead to the analysis of degenerate PDEs of elliptic type. The well-posedness (correctness) of boundary-value problems for elliptic equations on the plane has been well studied using the methods of analytic functions of a complex variable. However, fundamental problems arise when investigating similar problems if the number of independent variables exceeds two. In this paper, we prove the unique solvability and obtain the explicit form of the classical solution of the mixed boundary-value problem for degenerate elliptic PDEs with the Chaplygin operator.
Bessel functions , degenerate elliptic PDEs , mixed problem , well-posedness
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Institute of Mathematics and Mathematical Modelling, Ministry of Education and Science, and Institute of Mathematics, Physics, and Computer Science, Abai Kazakh National University, 86 Tole Bi Street, Almaty, 050010, Kazakhstan
Institute of Mathematics, Physics, and Computer Science, Abai Kazakh National University, 86 Tole Bi Street, Almaty, 050010, Kazakhstan
Institute of Mathematics and Mathematical Modelling
Institute of Mathematics
10 лет помогаем публиковать статьи Международный издатель
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