 | ao. Univ.-Prof. i.R. Dr. Thomas Hoffmann-Ostenhof University of Vienna Institute of Theoretical Chemistry Währinger Str. 17 1090 Vienna Austria thoffmann@tbi.univie.ac.at +43 1 4277 52768 |
| Focus Area |
| Elliptic partial differential equations (like the time-independent Schroedinger equation) in relation to quantum mechanics and geometry. In particular, question related to regularity of solutions and spectral problems are considered. The german Wikipedia also has an entry on Thomas Hoffmann-Ostenhof. |
| Publications |
On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains - with some numerics - Asymptotic Analysis 121, 35-57, (2020), DOI: 10.3233/ASY-191594 B. Helfer, T. Hoffmann-Ostenhof, F. Jeauberteaum, C. Lena. On a class of sharp multiplicative Hardy inequalities Algebra i Analiz 32, 180-190, (2020) 10. B. Helffer, T. Hoffmann-Ostenhof, P. Marquetand On maximal multiplicities for Hamiltonians with separable variables (submitted), (2019) B. Helffer, T. Hoffmann-Ostenhof, P. Marquetand Nodal domains, spectral minimal partitions and their relation to Aharonov-Bohm operators IAMP News Bulletin , , (2017) 8. P. Charron, B. Helffer, T. Hoffmann-Ostenhof Pleijel's theorem for Schrödinger operators with radial potentials Annales mathématiques du Québec , , (2017), DOI: 10.1007/s40316-017-0078-x 7. B. Helffer, T. Hoffmann-Ostenhof A review on large k minimal spectral k-partitions and Pleijel's Theorem Contemporary Math. 640, 39-58, (2015) 6. T. Hoffmann-Ostenhof Eigenfunctions of 2-Dimensional Tori and for Rectangles with Neumann Boundary Conditions Moscow Math J. 15, 101-106, (2015) 5. T. Hoffmann-Ostenhof, A. Laptev Hardy inequalities with homogeneous weights J. Funct. Anal. 268, 3278-3289, (2015), DOI: 10.1016/j.jfa.2015.03.016 4. B. Helffer, T. Hoffmann-Ostenhof Minimal partitions of anisotropic tori J. Spectr. Theory 4, 221-233, (2014), DOI: 10.4171/JST/68 3. B. Helffer, T. Hoffmann-Ostenhof On a magnetic characterization of spectral minimal partitions Journal of the European Mathematical Society 15, 2081-2092, (2013), DOI: 10.4171/JEMS/415 2. B. Helffer, T. Hoffmann-Ostenhof Spectral minimal partitions for a thin strip on a cylinder or a thin annulus like domain with Neumann condition Operator Methods in Mathematical Physics; Operator Theory: Advances and Applications 227, 107-115, (2013), DOI: 10.1007/978-3-0348-0531-5_5 |