# Elliptic differential operators on Lipschitz domains and abstract boundary value problems

@article{Behrndt2014EllipticDO, title={Elliptic differential operators on Lipschitz domains and abstract boundary value problems}, author={Jussi Behrndt and Till Micheler}, journal={Journal of Functional Analysis}, year={2014}, volume={267}, pages={3657 - 3709} }

## 35 Citations

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces

- Mathematics
- 2016

Markovian extensions of symmetric second order elliptic differential operators

- Mathematics
- 2012

Let Ω⊂Rn be bounded with a smooth boundary Γ and let S be the symmetric operator in L2(Ω) given by the minimal realization of a second order elliptic differential operator. We give a complete…

M-dissipative boundary conditions and boundary tuples for Maxwell operators

- MathematicsJournal of Differential Equations
- 2022

Inverse problems for boundary triples with applications

- Mathematics
- 2017

This paper discusses the inverse problem of how much information on an operator can be determined/detected from ‘measurements on the boundary’. Our focus is on non-selfadjoint operators and their…

Dirichlet-to-Neumann Maps, Abstract Weyl-Titchmarsh $M$-Functions, and a Generalized Index of Unbounded Meromorphic Operator-Valued Functions

- Mathematics
- 2016

Functional characterizations of trace spaces in Lipschitz domains

- MathematicsBanach Journal of Mathematical Analysis
- 2019

Using a factorization theorem of Douglas, we prove functional characterizations of trace spaces $H^s(\partial \Omega)$ involving a family of positive self-adjoint operators. Our method is based on…

First-order asymptotic perturbation theory for extensions of symmetric operators

- Mathematics
- 2020

This work offers a new prospective on asymptotic perturbation theory for varying self-adjoint extensions of symmetric operators. Employing symplectic formulation of self-adjointness we obtain a new…

Quasi boundary triples and semi-bounded self-adjoint extensions

- MathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
- 2017

In this note semi-bounded self-adjoint extensions of symmetric operators are investigated with the help of the abstract notion of quasi boundary triples and their Weyl functions. The main purpose is…

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