TY - JOUR

T1 - Equations of the Boundary Control method for the inverse source problem

AU - Mikhaylov, A. S.

AU - Mikhaylov, V. S.

PY - 2013/1/1

Y1 - 2013/1/1

N2 - The dynamical inverse source problem is considered for an abstract, not self-adjoint operator in the Hilbert space, and an equation of the boundary control (BC) method for this problem is derived. It is shown that the solution of this equation crucially depends on the minimality property of a certain exponential family. Applications of this equation to the inverse source problem and to the problem of extension of inverse data are given.

AB - The dynamical inverse source problem is considered for an abstract, not self-adjoint operator in the Hilbert space, and an equation of the boundary control (BC) method for this problem is derived. It is shown that the solution of this equation crucially depends on the minimality property of a certain exponential family. Applications of this equation to the inverse source problem and to the problem of extension of inverse data are given.

UR - http://www.scopus.com/inward/record.url?scp=84899030808&partnerID=8YFLogxK

U2 - 10.1007/s10958-013-1507-2

DO - 10.1007/s10958-013-1507-2

M3 - Article

AN - SCOPUS:84899030808

VL - 194

SP - 67

EP - 71

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -