For a certain class of coefficients a, including $\sigma \in L_p$ ($p$ depending on the number of variables) a generalized solution of (I), (II) is constructed satisfying the boundary condition (II) in a certain «strong» sense.
Citation Example:Kozlov O. M. Concerning the solution of certain boundary problems with discontinuous coefficients of the boundary condition // Ukr. Mat. Zh. - 1964. - 16, № 2. - pp. 143-156.