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ABOUT A TRANSFORMATION OF SCHWARZ PROBLEM
- Authors: Nikolaev V.1
-
Affiliations:
- Novgorod State University
- Issue: Vol 18, No 6 (2012)
- Pages: 27-34
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4764
- DOI: https://doi.org/10.18287/2541-7525-2012-18-6-27-34
- ID: 4764
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Abstract
We consider the Schwarz problem for vector-valued functions analytic according to Douglis. We prove that under certain conditions on the matrix this problem is reduced to the Dirichlet problem for some equivalent system of second-order PDEs. The reversebility of transformations is proved, and on that ground the theorem of uniqueness is established. A special case when reduction is impossible is also viewed. The examples are given.
About the authors
V.G. Nikolaev
Novgorod State University
Author for correspondence.
Email: morenov.sv@ssau.ru
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