分野別セミナー

Abstract:
In this work, we consider direct and inverse problems
for the time-fractional heat equation with a time-dependent leading coefficient for positive operators.
First, we consider the direct problem, and the unique existence of the generalized solution is established.
We also deduce some regularity results. Second, we study the inverse problem of determining the
leading coefficient, and the well-posedness of this inverse problem is proved.