Email this article Well-posed solvability of an analytic Cauchy problem in spaces with an integral metric
- Authors: Biryukov A.M.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute,”
- Issue: Vol 52, No 4 (2016)
- Pages: 447-457
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/153753
- DOI: https://doi.org/10.1134/S0012266116040054
- ID: 153753
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Abstract
We study the complex Cauchy problem for a system of linear differential equations in a class of analytic functions with an integral metric. For the case in which Lp is a weighted Lebesgue space, we obtain necessary and sufficient conditions for the local solvability of the problem.
About the authors
A. M. Biryukov
National Research University “Moscow Power Engineering Institute,”
Author for correspondence.
Email: birukovalmix@mail.ru
Russian Federation, Moscow
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