A Problem with Nonlocal Conditions for Partial Differential Equations Unsolved with Respect to the Leading Derivative
In the domain that is the product of a segment and a p-dimensional torus, we investigate the well-posedness of a problem with nonlocal boundary conditions for a partial differential equation unsolved with respect to the leading derivative with respect to a selected variable. We establish conditions for the the classical well-posedness of the problem and prove metric theorems on the lower bounds of small denominators appearing in the course of its solution.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 8, pp 1238-1253.
Citation Example: Ptashnik B. I., Vlasii O. D. A Problem with Nonlocal Conditions for Partial Differential Equations Unsolved with Respect to the Leading Derivative // Ukr. Mat. Zh. - 2003. - 55, № 8. - pp. 1022-1034.