Email this article Solvability of the Dirichlet Problem for the Poisson Equation on Some Noncompact Riemannian Manifolds
- Authors: Losev A.G.1
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Affiliations:
- Volgograd State University
- Issue: Vol 53, No 12 (2017)
- Pages: 1595-1604
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154646
- DOI: https://doi.org/10.1134/S0012266117120072
- ID: 154646
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Abstract
The behavior of solutions of the Poisson equation on noncompact Riemannian manifolds of a special form is studied. Sharp conditions for the unique solvability of the Dirichlet problem on the reconstruction of solutions of the Poisson equation from continuous boundary data at infinity are found.
About the authors
A. G. Losev
Volgograd State University
Author for correspondence.
Email: allosev59@gmail.com
Russian Federation, Volgograd, 400062
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