Email this article Complex Cauchy Problem in a Scale of Analytic Functions with Power-Law Singularities
- Authors: Biryukov A.M.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute,”
- Issue: Vol 54, No 8 (2018)
- Pages: 1049-1056
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154815
- DOI: https://doi.org/10.1134/S0012266118080050
- ID: 154815
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Abstract
We consider the Cauchy problem for systems of complex linear partial differential equations and obtain necessary and sufficient conditions for this problem to be well posed in a scale of Banach spaces of analytic functions having power-law singularities as the independent variable tends to the lateral surface of a cone.
About the authors
A. M. Biryukov
National Research University “Moscow Power Engineering Institute,”
Author for correspondence.
Email: birukovalmix@mail.ru
Russian Federation, Moscow, 111250
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