On a Certain Boundary Value Problem in a Plane Excluding Axes

Title	On a Certain Boundary Value Problem in a Plane Excluding Axes
Authors	N. N. Agarkova¹ ¹Belgorod State Scientific Research Institute
Annotation	A boundary value problem with Dirichlet and Neumann conditions for a model elliptic pseudodifferential equation on a plane with sections along the coordinate axes is considered. The solution is sought in the Sobolev-Slobodetsky space. Using a special wave factorization of the elliptic symbol, the boundary value problem is reduced to an equivalent system of linear integral equations.
Keywords	pseudo-differential equation, boundary value problem, plane with cuts.
Citation	Agarkova N. N. ''On a Certain Boundary Value Problem in a Plane Excluding Axes'' [Electronic resource]. Proceedings of the XVII International scientific conference "Differential equations and their applications in mathematical modeling". Saransk: SVMO Publ, 2025. - pp. 32-36. Available at: https://conf.svmo.ru/files/2025/papers/paper04.pdf. - Date of access: 19.10.2025.