(1) Novosibirsk State University, Novosibirsk, Russia;(2) Sobolev Institute of Mathematics, Novosibirsk, Russia
Abstract:
We consider the boundary value problems in the half-space for a class of quasielliptic systems with variable coefficients. Assuming that the boundary value problems satisfy the Lopatinski? condition, we establish sufficient conditions for unique solvability in Sobolev spaces.