TY - JOUR

T1 - On an Inverse Dynamic Problem for the Wave Equation with a Potential on a Real Line

AU - Mikhaylov, A. S.

AU - Mikhaylov, V. S.

PY - 2019/5/7

Y1 - 2019/5/7

N2 - The inverse dynamic problem for the wave equation with a potential on a real line is considered. The forward initial-boundary value problem is set up with the help of boundary triplets. As an inverse data, an analog of the response operator (dynamic Dirichlet-to-Neumann map) is used. Equations of the inverse problem are derived; also, a relationship between the dynamic inverse problem and the spectral inverse problem from a matrix-valued measure is pointed out.

AB - The inverse dynamic problem for the wave equation with a potential on a real line is considered. The forward initial-boundary value problem is set up with the help of boundary triplets. As an inverse data, an analog of the response operator (dynamic Dirichlet-to-Neumann map) is used. Equations of the inverse problem are derived; also, a relationship between the dynamic inverse problem and the spectral inverse problem from a matrix-valued measure is pointed out.

UR - http://www.scopus.com/inward/record.url?scp=85064931050&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04268-z

DO - 10.1007/s10958-019-04268-z

M3 - Article

AN - SCOPUS:85064931050

VL - 238

SP - 701

EP - 714

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -