On an inverse boundary value problem for a second order elliptic equation with integral condition. (English) Zbl 1289.35077

Mehraliyev, Yashar

Visn. L’viv. Univ., Ser. Mekh.-Mat. 77, 145-156 (2012).

Summary: An inverse boundary value problem for a second order elliptic equation is investigated. At first the initial problem is reduced to the equivalent problem for which the existence and uniqueness theorem of the solution is proved. Further, using these facts, the existence and uniqueness of the classical solution of the initial problem is proved.

MSC:

35J25	Boundary value problems for second-order elliptic equations
35R30	Inverse problems for PDEs

Keywords:

inverse boundary value problem; elliptic equation; Fourier method