Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Jonathan Eckhardt"'
Publikováno v:
Opuscula Mathematica, Vol 33, Iss 3, Pp 467-563 (2013)
We systematically develop Weyl-Titchmarsh theory for singular differential operators on arbitrary intervals \((a,b) \subseteq \mathbb{R}\) associated with rather general differential expressions of the type \begin{equation*}\tau f = \frac{1}{\tau} (-
Externí odkaz:
https://doaj.org/article/bf2ef7de02f640e187b74e5e0b5b1080
Publikováno v:
Journal of Differential Equations. 268:3016-3034
This article is concerned with the isospectral problem \[ -f'' + \frac{1}{4} f = z\omega f + z^2 \upsilon f \] for the periodic conservative Camassa-Holm flow, where $\omega$ is a periodic real distribution in $H^{-1}_{\mathrm{loc}}(\mathbb{R})$ and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79966a22806750d688edb86a5638987a
https://doi.org/10.1016/j.jde.2019.09.048
https://doi.org/10.1016/j.jde.2019.09.048
Using data from a large public research university in the United States, we examine the relationship between the characteristics of undergraduate college students’ regional origins and students’ interest in entrepreneurship. We find that several
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6bd8d998790b4b0e40a75dd375a1db1
Autor:
Jonathan Eckhardt, Aleksey Kostenko
Publikováno v:
Annales Henri Poincare
We investigate absolutely continuous spectrum of generalized indefinite strings. By following an approach of Deift and Killip, we establish stability of the absolutely continuous spectra of two model examples of generalized indefinite strings under r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::449c49c00214b27ece8000a719014fb2
Autor:
Aleksey Kostenko, Jonathan Eckhardt
We solve the inverse spectral problem associated with periodic conservative multi-peakon solutions of the Camassa-Holm equation. The corresponding isospectral sets can be identified with finite dimensional tori.
18 pages, 1 figure
18 pages, 1 figure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3baf51dc71a8edb096040c1450c028c0
http://arxiv.org/abs/1801.04612
http://arxiv.org/abs/1801.04612
Autor:
Jonathan Eckhardt, Katrin Grunert
We show how the change from Eulerian to Lagrangian coordinates for the two-component Camassa-Holm system can be understood in terms of certain reparametrizations of the underlying isospectral problem. The respective coordinates correspond to differen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf9bdc560f974aa6b53b3050e36449a2
https://doi.org/10.1093/integr/xyx002
https://doi.org/10.1093/integr/xyx002
Autor:
Jonathan Eckhardt, Aleksey Kostenko
We show that the classical Hamburger moment problem can be included in the spectral theory of generalized indefinite strings. Namely, we introduce the class of Krein-Langer strings and show that there is a bijective correspondence between moment sequ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e838f3d6f32d6f4437dae51cff77c5f2
Publikováno v:
University of Vienna-u:cris
In this paper we review the recent progress in the (indefinite) string density problem and its applications to the Camassa--Holm equation.
Comment: All comments welcome!
Comment: All comments welcome!
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d90ec1d31507cb5781db4515aa216891
Autor:
Jonathan Eckhardt
We establish the unique solvability of a coupling problem for entire functions which arises in inverse spectral theory for singular second order ordinary differential equations/two-dimensional first order systems and is also of relevance for the inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da04e21e86f1d64909fa2e690d94cfbe
https://hdl.handle.net/11353/10.688135
https://hdl.handle.net/11353/10.688135
Publikováno v:
Journal of Differential Equations. 257:415-449
We introduce a novel approach for defining a δ′-interaction on a subset of the real line of Lebesgue measure zero which is based on Sturm–Liouville differential expression with measure coefficients. This enables us to establish basic spectral pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6716e2cd3dc61a5fbe7a932d5f5d7c71
https://doi.org/10.1016/j.jde.2014.04.005
https://doi.org/10.1016/j.jde.2014.04.005