Regularization of the Cauchy problem for elliptic operators

Anastasiya S. Peicheva

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041, Russia

Abstract: We regularize the ill-posed Cauchy problem for a first order elliptic matrix differential operator $A$ with the use of a mixed problem for its Laplacian $A^*A$, depending on small parameter in boundary conditions.

Keywords: elliptic operators, the Cauchy problem, small parameter method.

UDC: 517.98

Received: 10.05.2017
Received in revised form: 10.12.2017
Accepted: 20.03.2018

Language: English

DOI: 10.17516/1997-1397-2018-11-2-191-193