Jesse Railo, LUT, Finland
-
PDL C-038
We consider the following inverse problem: Suppose
a (1 +1)-dimensional wave equation on R+ with zero initial conditions is
excited with a Neumann boundary data modelled as a white noise
process. Given also the Dirichlet data at the same point, determine
the unknown first order coefficient function of the system. The
inverse problem is then solved by showing that correlations of the
boundary data determine the Neumann-to-Dirichlet operator in the sense
of distributions, which is known to uniquely identify the coefficient.
The model has potential applications in acoustic measurements of
internal cross-sections of fluid pipes such as pressurised water
supply pipes and vocal tract shape determination. This talk is based
on a joint-work with Emilia Blåsten, Antti Kujanpää and Tapio Helin
(LUT), and Lauri Oksanen (Helsinki).
excited with a Neumann boundary data modelled as a white noise
process. Given also the Dirichlet data at the same point, determine
the unknown first order coefficient function of the system. The
inverse problem is then solved by showing that correlations of the
boundary data determine the Neumann-to-Dirichlet operator in the sense
of distributions, which is known to uniquely identify the coefficient.
The model has potential applications in acoustic measurements of
internal cross-sections of fluid pipes such as pressurised water
supply pipes and vocal tract shape determination. This talk is based
on a joint-work with Emilia Blåsten, Antti Kujanpää and Tapio Helin
(LUT), and Lauri Oksanen (Helsinki).