Nonlocal Dirichlet problem for linear parabolic equations with degeneration
In the spaces of classical functions with power weight, we prove the correct solvability of the Dirichlet problem for parabolic equations with nonlocal integral condition with respect to the time variable and an arbitrary power order of degeneration of coefficients with respect to the time and space variables.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 1, pp 111-125.
Citation Example: Pukal'skii I. D. Nonlocal Dirichlet problem for linear parabolic equations with degeneration // Ukr. Mat. Zh. - 2007. - 59, № 1. - pp. 109–121.