Weak solutions for the stationary Schrödinger equation and its application

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• 作者：Lei Qiao ^{lei.quiao@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Carleman&rsquo ; s formula ; Stationary Schrö ; dinger equation ; Integral representation
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：63
• 期：Complete
• 页码：34-39
• 全文大小：573 K

文摘

In this paper, we prove Carleman’s formula for weak solutions of the stationary Schrödinger equation in a cylinder. As an application of it, the integral representation of solutions of the stationary Schrödinger equation is also obtained.