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.