- Jonathan Rohleder
A note on hot-spots free subregions of convex domains
Complex Analysis and Operator Theory 20 (2026), 57; arXiv
- James B. Kennedy and Jonathan Rohleder
On the hot spots conjecture in higher dimensions
Transactions of the American Mathematical Society, accepted for publication; arXiv
- Vladimir Lotoreichik and Jonathan Rohleder
A note on optimization of the second positive Neumann eigenvalue for parallelograms
Mathematika 71 (2025), no. 3, Paper No. e70033; arXiv
- Jonathan Rohleder
Inequalities between Neumann and Dirichlet Laplacian eigenvalues on planar domains
Mathematische Annalen 392 (2025), no. 4, 5553-5571; arXiv
- Jonathan Rohleder
Curl curl versus Dirichlet Laplacian eigenvalues
Bulletin of the London Mathematical Society 57 (2025), no. 9, 2738-2747; arXiv
- Pavel Exner and Jonathan Rohleder
Optimization of quantum graph eigenvalues with preferred orientation vertex conditions
Annales Henri Poincaré, accepted for publication; arXiv
- Nausica Aldeghi and Jonathan Rohleder
On the first eigenvalue and eigenfunction of the Laplacian with mixed boundary conditions
Journal of Differential Equations 427 (2025), 689-718; arXiv
- Corentin Léna and Jonathan Rohleder
Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width
Analysis and Mathematical Physics 14 (2024), Paper No. 42; arXiv
- Jonathan Rohleder and Christian Seifert
Spectral theory for Schrödinger operators on compact metric graphs with δ and δ' couplings: a survey
Trends in Mathematics 2024, Systems theory and PDEs, 43-89; arXiv
- Nausica Aldeghi and Jonathan Rohleder
Inequalities between the lowest eigenvalues of Laplacians with mixed boundary conditions
Journal of Mathematical Analysis and Applications 524 (2023), no. 1, Paper No. 127078; arXiv
- Hannes Gernandt and Jonathan Rohleder
A Calderón type inverse problem for tree graphs
Linear Algebra and its Applications 646 (2022), 29-42; arXiv
- Jonathan Rohleder
Quantum trees which maximize higher eigenvalues are unbalanced
Proceedings of the American Mathematical Society. Series B 9 (2022), 50–59; arXiv
- James B. Kennedy and Jonathan Rohleder
On the hot spots of quantum graphs
Communications on Pure and Applied Analysis 20 (2021), no. 9, 3029-3063; arXiv
- Jacob Muller and Jonathan Rohleder
The Krein-von Neumann extension for Schrödinger operators on metric graphs
Complex Analysis and Operator Theory 15 (2021), no. 2, 27; arXiv
- Jonathan Rohleder
Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators
Journal of Spectral Theory 11 (2021), 915-933; arXiv
- Pavel Kurasov and Jonathan Rohleder
Laplacians on bipartite metric graphs
Operators and Matrices 14 (2020), 535-553; arXiv
- Jussi Behrndt and Jonathan Rohleder
Inverse problems with partial data for elliptic operators on unbounded Lipschitz domains
Inverse Problems 36 (2020) 035009 (18pp); arXiv
- Jonathan Rohleder and Christian Seifert
Spectral monotonicity for Schrödinger operators on metric graphs
Operator Theory: Advances and Applications 281 (2020), 291-310; arXiv
- Jonathan Rohleder
A remark on the order of mixed Dirichlet-Neumann eigenvalues of polygons
Operator Theory: Advances and Applications 276 (2020), 570-575; arXiv
- Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder
Spectral enclosures for non-self-adjoint extensions of symmetric operators
Journal of Functional Analysis 275 (2018), 1808-1888; arXiv
- Jussi Behrndt, Jonathan Rohleder, and Simon Stadler
Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains
Journal of Spectral Theory 8 (2018), 493-508; arXiv
- Christian Kühn and Jonathan Rohleder
Visibility of quantum graph spectrum from the vertices
Journal of Physics. A. Mathematical and Theoretical 51 (2018), 095204 (11pp); arXiv
- Jonathan Rohleder and Christian Seifert
Absolutely continuous spectrum for Laplacians on radial metric trees and periodicity
Integral Equations and Operator Theory 89 (2017), 439-453; arXiv
- Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder
Quasi boundary triples and semibounded self-adjoint extensions
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 147 (2017), 895-916; arXiv
- Vladimir Lotoreichik and Jonathan Rohleder
Eigenvalue inequalities for the Laplacian with mixed boundary conditions
Journal of Differential Equations 263 (2017), 491-508; arXiv
- Jussi Behrndt, Rupert L. Frank, Christian Kühn, Vladimir Lotoreichik, and Jonathan Rohleder
Spectral theory for Schrödinger operators with δ-interactions supported on curves in ℝ³
Annales Henri Poincaré; 18 (2017), 1305-1347; arXiv
- Jonathan Rohleder
Eigenvalue estimates for the Laplacian on a metric tree
Proceedings of the American Mathematical Society 145 (2017), 2119-2129; arXiv
- Pavel Exner and Jonathan Rohleder
Generalized interactions supported on hypersurfaces
Journal of Mathematical Physics 57 (2016), 041507 (23pp); arXiv
- Jussi Behrndt and Jonathan Rohleder
Titchmarsh-Weyl theory for Schrödinger operators on unbounded domains
Journal of Spectral Theory 6 (2016), 67-87; arXiv
- Jussi Behrndt and Jonathan Rohleder
Spectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functions
Advances in Mathematics 285 (2015), 1301-1338; arXiv
- Vladimir Lotoreichik and Jonathan Rohleder
An eigenvalue inequality for Schrödinger operators with δ and δ'-interactions supported on hypersurfaces
Operator Theory: Advances and Applications 247 (2015), 173-184; arXiv
- Jonathan Rohleder
Recovering a quantum graph spectrum from vertex data
Journal of Physics. A. Mathematical and Theoretical 48 (2015), 165202 (20pp); arXiv; Publisher's pick
- Jonathan Rohleder
Strict inequality of Robin eigenvalues for elliptic differential operators on Lipschitz domains
Journal of Mathematical Analysis and Applications 418 (2014), 978–984; arXiv
- Jussi Behrndt and Jonathan Rohleder
An inverse problem of Calderón type with partial data
Communications in Partial Differential Equations 37 (2012), 1141–1159; arXiv
- Vladimir Lotoreichik and Jonathan Rohleder
Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space
Operator Theory: Advances and Applications 221 (2012), 453–468; arXiv
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- Jonathan Rohleder
A variational approach to the hot spots conjecture
Extended Abstracts 2021/2022
Trends in Mathematics 2024, Methusalem Lectures, 37-45; arXiv
- James Kennedy and Jonathan Rohleder
On the hot spots of quantum trees
Proceedings in Applied Mathematics and Mechanics 18 (2018);
arXiv
- Jussi Behrndt, Christian Kühn, and Jonathan Rohleder
Eigenvalues of Schrödinger operators and Dirichlet-to-Neumann maps
Proceedings in Applied Mathematics and Mechanics 13 (2013), 517–518
- Jonathan Rohleder
Spectral properties of selfadjoint Schrödinger operators and
Dirichlet-to-Neumann maps
Oberwolfach Reports 02 (2012), 26–28
- Jussi Behrndt, Christian Kühn, and Jonathan Rohleder
Selfadjoint Schrödinger operators on the half-space with compactly supported Robin boundary conditions
Proceedings in Applied Mathematics and Mechanics 11 (2011), 885–886
- Jussi Behrndt and Jonathan Rohleder
A characterization of the eigenvalues of Schrödinger operators with Dirichlet and Neumann boundary conditions
Proceedings in Applied Mathematics and Mechanics 10 (2010), 657–658
- Jussi Behrndt and Jonathan Rohleder
An L² model for selfadjoint elliptic differential operators with constant coefficients on bounded domains
Proceedings in Applied Mathematics and Mechanics 9 (2009), 673–674
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