Real analyticity of solutions to Schr\"odinger equations involving fractional Laplacians

arxiv: 1209.3885 · v2 · pith:YRSNFP7Snew · submitted 2012-09-18 · 🧮 math.AP · math-ph· math.MP

Anna Dall'Acqua , S{\o}ren Fournais , Thomas {\O}stergaard S{\o}rensen , Edgardo Stockmeyer This is my paper

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keywords analyticityequationsodingerschrsolutionsanalyticcertainfractional

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We prove analyticity of solutions in $\mathbb{R}^{n}$, $n\ge1$, to certain nonlocal linear Schr\"odinger equations with analytic potentials.

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