Proceedings of conferences

About solving the Cauchy problem for secondorder elliptic equations in a planar domain using the Cauchy integral operator

È. V. Arbuzov^a, A. L. Bukhgeim<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Wichita State University, Department of Mathematics and Statistics, USA

Abstract: A Carleman type formula for the solution to the Cauchy problem for second-order elliptic equations in a planar domain is obtained.

Keywords: Cauchy problem, Caushy integral operator, second-order elliptic equations, Carleman formula.

UDC: 517.55

MSC: 35J25

Received March 5, 2010