On unique continuation of solutions of Schr\"odinger equations
classification
🧮 math.AP
keywords
equationsodingerschrsolutionsolutionsuniquenessbehaviorconditions
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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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