Abstract
The article continues the authors’ previous research, where they are proved the well-posed solvability of regular equations in ℝn and the Dirichlet problem in \(\mathbb{R}_+^n\). We define a scale of weighted spaces in which the regular operators are correctly solvable. Approximate solutions to the corresponding Dirichlet problem are constructed with the use of integral operators.
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Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 3, pp. 610–629.
The authors were supported by the State Science Committee of the Ministry for Higher Education and Science and the Russian Foundation for Basic Research (Grant 18RF-004).
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Karapetyan, G.A., Petrosyan, H.A. Multianisotropic Integral Operators Defined by Regular Equations. Sib Math J 60, 472–489 (2019). https://doi.org/10.1134/S0037446619030108
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DOI: https://doi.org/10.1134/S0037446619030108