Nonlocal problem for degenerating elliptic-hyperbolic equations

Abstract

In this paper investigated issues L2-strong solvability of nonlocal problems for a degenerate equation of mixed elliptic-hyperbolic type. The peculiarity of this problem is the area in the hyperbolic part is not characteristic triangle, and the availability of additional internal boundary condition. Criterion of uniquely strong solvability of the problem is found.