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On unique continuation of solutions of Schrödinger equations

L. Escauriaza·C. E. Kenig·G. Ponce·L. Vega
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Abstract

We study uniqueness properties of solutions of Schrödinger 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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L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega. 2005-09-08. On unique continuation of solutions of Schrödinger equations. https://arxiv.org/abs/math/0509199

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