Nonlocal boundary value problems
Nonlocal boundary value problems
Subject/research area
Elliptic and parabolic differential equations with nonlocal boundary conditions.
Goals and tasks
The study of different types of nonlocal boundary value problems for elliptic and parabolic differential equations, and their interrelation. Research of the solvability and qualitative properties of solutions. Construction of the index theory.
Scope of application of results
Elliptic and parabolic functional-differential equations, multidimensional diffusion processes, plasma theory, Vlasov kinetic equations.