科研之友
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摘要
In this paper, we consider the Dirichlet problem for the stationary Schrodinger equation in a cone with continuous boundary data. For a solution u of the stationary Schrodinger equation in a cone, we prove that if its positive part u(+) satisfying a slowly growing condition, then its negative part u(-) can also be dominated by a similar slowly growing condition. Meanwhile, u can be represented by its integral in the boundary of the cone.
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单位北京师范大学; 河南财经政法大学
