Locally Self-adjoint Extensions of Nonlinear Smooth Operators and Abstract Boundary Conditions
Functional Analysis
2020-12-21 v1
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.
Keywords
Cite
@article{arxiv.2012.10287,
title = {Locally Self-adjoint Extensions of Nonlinear Smooth Operators and Abstract Boundary Conditions},
author = {Leonid Zelenko},
journal= {arXiv preprint arXiv:2012.10287},
year = {2020}
}
Comments
31 pages