A Problem with Nonlocal Conditions for Partial Differential Equations Unsolved with Respect to the Leading Derivative

Vlasii, O. D.; Ptashnyk, B. I.
August 2003
Ukrainian Mathematical Journal;Aug2003, Vol. 55 Issue 8, p1238
Academic Journal
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.


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