Regularization of Necessary Conditions for a Nonlocal Boundary Value Problem for a Threedimensional Mixed-type Equation
Year: 2025
Type: article
Abstract: The presented work is devoted to the study of the solution of a boundary value problem for a three-dimensional mixed-type equation with nonlocal boundary conditions in a bounded domain with a Lyapunov boundary.In the upper half-space, this is an elliptictype equation, or the Laplace equation, and in the lower half-space, it is a hyperbolic-type equation.Necessary solvability conditions are derived in both the elliptic and hyperbolic cases.Regularization of singular necessary conditions is carried out using a special scheme.The regularized relations obtained in this work are a tool for proving the Fredholm property of the problem.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4412441673