Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP


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Authors

  • Tsegaye Gedif Ayele
  • Sergey Mikhailov

Keywords:

partial differential equations, variable coefficients, parametrix, boundary-domain integral equations, equivalence, unique solvability and invertibility

Abstract

Applying the two-operator approach, the mixed (Dirichlet-Neumann) boundary value problem for a second-order scalar elliptic differential equation with variable coefficients is reduced to several systems of Boundary Domain Integral Equations, briefly BDIEs. The two-operator BDIE system equivalence to the boundary value problem, BDIE solvability and the invertibility of the boundary-domain integral operators are proved in the appropriate Sobolev spaces.

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Published

2024-05-26

How to Cite

Ayele, T. G., & Mikhailov, S. (2024). Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP. Eurasian Mathematical Journal, 2(3). Retrieved from https://emj.enu.kz/index.php/main/article/view/89

Issue

Vol. 2 No. 3 (2011)

Section

Articles