摘要

The first aim in this paper is to deal with asymptotic behaviors of Green-Sch potentials in a cylinder. As an application we prove the integral representation of nonnegative weak solutions of the stationary Schrodinger equation in a cylinder. Next we give asymptotic behaviors of them outside an exceptional set. Finally we obtain a quantitative property of rarefied sets with respect to the stationary Schrodinger operator at +infinity in a cylinder. Meanwhile we show that the reverse of this property is not true.

  • 出版日期2017-8
  • 单位河南财经政法大学

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