Medvid’ I. M.
Ukr. Mat. Zh. - 2008. - 60, № 7. - pp. 949–968
We prove the existence and uniqueness of a solution of a nonlinear parabolic variational inequality in an unbounded domain without conditions at infinity. In particular, the initial data may infinitely increase at infinity, and a solution of the inequality is unique without any restrictions on its behavior at infinity.