Recovery of rapidly decaying source terms from dynamical samples in evolution equations

Akram Aldroubi, Le Gong, Ilya Krishtal

We analyze the problem of recovering a source term of the form $h(t)={\sum }_j{h}_j\varphi (t-t_j){\chi }_{[t_j,\infty )}(t)$ from space-time samples of the solution $u$ of an initial value proble…