On a Parabolic Variational Inequality That Generalizes the Equation of Polytropic Filtration

@article{Buhrii2001OnAP,
  title={On a Parabolic Variational Inequality That Generalizes the Equation of Polytropic Filtration},
  author={O. M. Buhrii and S. P. Lavrenyuk},
  journal={Ukrainian Mathematical Journal},
  year={2001},
  volume={53},
  pages={1027-1042}
}
We obtain conditions for the existence and uniqueness of a solution of a parabolic variational inequality that is a generalization of the equation of polytropic elastic filtration without initial conditions. The class of uniqueness of a solution of this problem consists of functions that increase not faster than e−μt, μ > 0, as t → −∞.