TY - JOUR

T1 - Inverse source problem for the 1D Schrödinger equation

AU - Avdonin, S. A.

AU - Mikhaylov, V. S.

PY - 2012/9/1

Y1 - 2012/9/1

N2 - The inverse problem of determining a source in the dynamical Schrödinger equation iu t - u xx + q(x) = w(t)a(x), 0 < x < 1, with zero Dirichlet boundary conditions and zero initial condition, is considered. From the measurement of u x(0, t), 0 < t < T, the unknown source a (x) is recovered, provided that q(x) and w(t) are given. Also, it is described how one can recover a (x) and q (x) simultaneously from measurements at both boundary points. Bibliography: 16 titles.

AB - The inverse problem of determining a source in the dynamical Schrödinger equation iu t - u xx + q(x) = w(t)a(x), 0 < x < 1, with zero Dirichlet boundary conditions and zero initial condition, is considered. From the measurement of u x(0, t), 0 < t < T, the unknown source a (x) is recovered, provided that q(x) and w(t) are given. Also, it is described how one can recover a (x) and q (x) simultaneously from measurements at both boundary points. Bibliography: 16 titles.

UR - http://www.scopus.com/inward/record.url?scp=84866552574&partnerID=8YFLogxK

U2 - 10.1007/s10958-012-0933-x

DO - 10.1007/s10958-012-0933-x

M3 - Article

AN - SCOPUS:84866552574

VL - 185

SP - 513

EP - 516

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -