TY - JOUR

T1 - Inverse dynamic problem for the wave equation with periodic boundary conditions

AU - Mikhaylov, A. S.

AU - Mikhaylov, V. S.

PY - 2019/4/27

Y1 - 2019/4/27

N2 - We consider the inverse dynamic problem for the wave equation with a potential on an interval (0, 2 pi) with periodic boundary conditions. We use a boundary triplet to set up the initial-boundary value problem. As inverse data we use a response operator (dynamic Dirichlet-to-Neumann map). Using the auxiliary problem on the whole line, we derive equations of the inverse problem. We also establish the relationships between dynamic and spectral inverse data.

AB - We consider the inverse dynamic problem for the wave equation with a potential on an interval (0, 2 pi) with periodic boundary conditions. We use a boundary triplet to set up the initial-boundary value problem. As inverse data we use a response operator (dynamic Dirichlet-to-Neumann map). Using the auxiliary problem on the whole line, we derive equations of the inverse problem. We also establish the relationships between dynamic and spectral inverse data.

KW - inverse problem

KW - Boundary Control method

KW - Schrodinger operator

KW - MATRICES

KW - SYSTEMS

UR - http://www.mendeley.com/research/inverse-dynamic-problem-wave-equation-periodic-boundary-conditions

U2 - 10.17586/2220-8054-2019-10-2-115-123

DO - 10.17586/2220-8054-2019-10-2-115-123

M3 - статья

VL - 10

SP - 115

EP - 123

JO - Nanosystems: Physics, Chemistry, Mathematics

JF - Nanosystems: Physics, Chemistry, Mathematics

SN - 2220-8054

IS - 2

ER -