Variational Ultraparabolic Inequalities

  • S. P. Lavrenyuk
  • N. P. Protsakh

Abstract

In a bounded domain of the space ℝ n +2, we consider variational ultraparabolic inequalities with initial condition. We establish conditions for the existence and uniqueness of a solution of this problem. As a special case, we establish the solvability of mixed problems for some classes of nonlinear ultraparabolic equations with nonclassical and classical boundary conditions.
Published
25.12.2004
How to Cite
LavrenyukS. P., and ProtsakhN. P. “Variational Ultraparabolic Inequalities”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 12, Dec. 2004, pp. 1616-28, https://umj.imath.kiev.ua/index.php/umj/article/view/3870.
Section
Research articles