L. N. Bondar', “Solvability of the second boundary value problem for one elliptic equation in a half-space”, Sib. Zh. Ind. Mat., 2013, Volume 16, Number 3,Pages <nobr>41

Solvability of the second boundary value problem for one elliptic equation in a half-space

L. N. Bondar'^ab

^a Sobolev Institute of Mathematics SD RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We consider the second boundary value problem in a half-space for a biharmonic equation with a lower-order term. We prove theorems on the solvability of the problem in a Sobolev space.

Keywords: elliptic equation, boundary value problem, Sobolev space, solvability condition.

UDC: 517.956.223

Received: 27.07.2013