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Siberian Mathematical Journal

, Volume 60, Issue 3, pp 472–489 | Cite as

Multianisotropic Integral Operators Defined by Regular Equations

  • G. A. KarapetyanEmail author
  • H. A. PetrosyanEmail author
Article

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.

Keywords

well-posed solvability multianisotropic kernel regular operator integral representation of functions 

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Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.Russian-Armenian UniversityYerevanArmenia

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