Title :
Location and density determination for a source with impulse derivative time variation
Author :
Idemen, M. ; Alkumru, A.
Author_Institution :
Dept. of Math., Yeditepe Univ., Istanbul, Turkey
Abstract :
In this study an inverse source problem related to the source density f0(x) which is a function of bounded support and taking place in the wave equation Δu(x, t) - (1/c2) ∂2 u(x, t) / ∂t2 = - f0 (x)δ´(t) is considered. An explicit expression of the solution is given in terms of the surface integral of the data which is measured on the boundary S of a convex domain D during certain finite time interval [0, T]. An illustrative example shows the applicability as well as the effectiveness of the method.
Keywords :
integral equations; inverse problems; wave equations; wave propagation; convex domain; density determination; finite time interval; impulse derivative time variation; inverse source problem; location determination; source density; surface integral; wave equation; Density functional theory; Electronic mail; Equations; Green function; Inverse problems; Time measurement; Tomography;
Conference_Titel :
General Assembly and Scientific Symposium, 2011 XXXth URSI
Conference_Location :
Istanbul
Print_ISBN :
978-1-4244-5117-3
DOI :
10.1109/URSIGASS.2011.6050372
