Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations
The present paper deals with the well-posedness and regularity of one class of one-dimensional time-dependent boundary-value problems with global boundary conditions on the entire time interval. We establish conditions for the well-posedness of boundary-value problems for partial differential equations in the class of bounded differentiable functions. A criterion for the regularity of the problem under consideration is also obtained.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 8, pp 1367-1377.
Citation Example: Kengne E. Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations // Ukr. Mat. Zh. - 2002. - 54, № 8. - pp. 1135-1142.