论文标题

非线性平滑算子和抽象边界条件的局部自我参与扩展

Locally Self-adjoint Extensions of Nonlinear Smooth Operators and Abstract Boundary Conditions

论文作者

Zelenko, Leonid

论文摘要

在真正的希尔伯特空间中,研究了平滑的操作员F,其域的每个点的衍生物都是对称操作员。就抽象的边界条件而言,描述了该操作员的局部自我参与扩展。我们使用一些概念和事实来自符号差异几何形状。

In a real Hilbert spaces H a smooth operator F is studied, whose derivative at each point of its domain is a symmetric operator. In terms of abstract boundary conditions locally self-adjoint extensions of this operator are described. We use some concepts and facts from symplectic differential geometry.

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