Department staff
Dr Jonathan Eckhardt
Senior Lecturer
- J.Eckhardt@lboro.ac.uk
- Office: SCH.1.20 (Schofield Building)
- Research publications
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- View ORCID profile
Academic employment
- Since 09/2018: Senior Lecturer, Loughborough University
- 09/2015 - 08/2019: Postdoctoral research fellow (PI), University of Vienna
- 09/2013 - 08/2015: Postdoctoral research fellow (PI), Cardiff University
- 05/2013 - 08/2013: Postdoctoral research fellow, University of Vienna
- 01/2013 - 05/2013: Postdoctoral research fellow, Institut Mittag-Leffler
- 02/2010 - 01/2013: Research assistant/Postdoctoral research fellow, University of Vienna
Education
- 02/2010 - 01/2012: Doctoral studies (PhD) in Mathematics, University of Vienna
- 10/2005 - 01/2010: Diploma studies (MSc) in Technical Mathematics, Vienna University of Technology
Research interests
- Direct and inverse spectral theory of ordinary differential equations, in particular generalised indefinite strings and canonical systems
- Inverse spectral/scattering transform method for integrable partial differential equations, long-time asymptotics
Selected publications
- The inverse spectral transform for the conservative Camassa–Holm flow with decaying initial data, Arch. Ration. Mech. Anal. 224 (2017), no. 1, 21–52
- The inverse spectral problem for indefinite strings, with A. Kostenko, Invent. Math. 204 (2016), no. 3, 939–977
- An inverse spectral problem for a star graph of Krein strings, J. Reine Angew. Math. 715 (2016), 189–206
- A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations, with G. Teschl, Nonlinearity 29 (2016), no. 3, 1036–1046
- An isospectral problem for global conservative multi-peakon solutions of the Camassa–Holm equation, with A. Kostenko, Comm. Math. Phys. 329 (2014), no. 3, 893–918
- On the isospectral problem of the dispersionless Camassa–Holm equation, with G. Teschl, Adv. Math. 235 (2013), 469–495
