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

  • O. M. Buhrii
  • S. P. Lavrenyuk

Abstract

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 → −∞.
Published
25.07.2001
How to Cite
BuhriiO. M., and LavrenyukS. P. “On a Parabolic Variational Inequality That Generalizes the Equation of Polytropic Filtration”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 53, no. 7, July 2001, pp. 867-78, https://umj.imath.kiev.ua/index.php/umj/article/view/4308.
Section
Research articles