A parabolic variational inequality in unbounded domains.

The article discusses a parabolic variational inequality in unbounded domains. The authors discuss Tikhonov's classical result on the Cauchy problem for the heat equation with a continuous initial function. The linear parabolic variational inequalities in unbounded domains are discussed. The authors analyze a parabolic variational inequality with a semilinear fourth-order elliptic differential operator in unbounded domains.