Strong unique continuation properties and a classification of the asymptotic profiles are established for the fractional powers of a Schrödinger operator with a Hardy-type potential, by means of an Almgren monotonicity formula combined with a blow-up analysis.

中文翻译：

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具有 Hardy 型势的薛定谔算子的分数幂

通过 Almgren 单调性公式与爆炸分析相结合，为具有 Hardy 型势的薛定谔算子的分数幂建立了强大的独特连续性和渐近轮廓的分类。