On unique continuation of solutions of Schrödinger equations

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

We study uniqueness properties of solutions of Schr\"odinger equations. The
aim is to obtain sufficient conditions on the decay behavior of the difference
of two solution $u_1-u_2$ of the equation at two different times
$t_0=0$ and $t_1=1$ which guarantee the uniqueness of the solution, i.e. that
$u_1\equiv u_2$.

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