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arXiv · 2012.10287

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

Leonid Zelenko
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Abstract

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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Leonid Zelenko. 2020-12-18. Locally Self-adjoint Extensions of Nonlinear Smooth Operators and Abstract Boundary Conditions. https://arxiv.org/abs/2012.10287

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