Dear Organizing Committee,
My name is Nguyen Hoang, a postdoc in the Department of Mathematics at the University of Oklahoma.
I am interested in giving a short presentation at the Third Oklahoma PDE Workshop.
Below are the title and abstract of a possible talk.
Title:
An inverse problem for a heat equation with piecewise-constant thermal conductivity.
Abstract:
The governing equation is $u_t = (a(x)u_x)_x$, $0 \le x \le 1$, $t > 0$, $u(x, 0) = 0$,
$u(0, t) = 0$, $a(1)u'(1, t) = f(t)$. The extra data are $u(1, t) = g(t)$. It is assumed that
$a(x)$ is a piecewise-constant function, and $f\not\equiv 0$. It is proved that the function $a(x)$
is uniquely defined by the above data. No restrictions on the number of discontinuity
points of $a(x)$ and on their locations are made. The number of discontinuity points
is finite, but this number can be arbitrarily large.
I hope my proposal is accepted for presenting at the Workshop. I look forwarding to the Committee's decision.
Thank you very much,
Nguyen Hoang
Department of Mathematics
University of Oklahoma