Geodesic
Asymptotic behavior of solutions of the Dirichlet problem for the Poisson equation on model Riemannian manifolds
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 66-80

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The paper is devoted to estimating the speed of approximation of solutions of the Dirichlet problem for the Poisson equation on non-compact model Riemannian manifolds to their boundary data at "infinity". Quantitative characteristics that estimate the speed of the approximation are found in terms of the metric of the manifold and the smoothness of the inhomogeneity in the Poisson equation.
Keywords: Dirichlet problem, model Riemannian manifold, asymptotic behavior.
Mots-clés : Poisson equation 
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     author = {A. G. Losev and E. A. Mazepa},
     title = {Asymptotic behavior of solutions of the {Dirichlet} problem for the {Poisson} equation on model {Riemannian} manifolds},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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A. G. Losev; E. A. Mazepa. Asymptotic behavior of solutions of the Dirichlet problem for the Poisson equation on model Riemannian manifolds. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 66-80. http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a26/