Variational Ultraparabolic Inequalities
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.
English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 12, pp 1915-1931.
Citation Example: Lavrenyuk S. P., Protsakh N. P. Variational Ultraparabolic Inequalities // Ukr. Mat. Zh. - 2004. - 56, № 12. - pp. 1616-1628.