Zobrazeno 1 - 10
of 220
pro vyhledávání: '"Gerald Teschl"'
Publikováno v:
Opuscula Mathematica, Vol 36, Iss 6, Pp 769-786 (2016)
We investigate the dependence of the \(L^1\to L^{\infty}\) dispersive estimates for one-dimensional radial Schrödinger operators on boundary conditions at \(0\). In contrast to the case of additive perturbations, we show that the change of a boundar
Externí odkaz:
https://doaj.org/article/43c283448fb94a97a25ae20d8ed767ce
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:
Electronic Journal of Differential Equations, Vol 2005, Iss 01, Pp 1-17 (2005)
We consider a collisionless ensemble of classical particles coupled with a Klein-Gordon field. For the resulting nonlinear system of partial differential equations, the relativistic Vlasov-Klein-Gordon system, we prove local-in-time existence of clas
Externí odkaz:
https://doaj.org/article/0957c17078464ab1b2b9d3969ffb0fa7
Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models
As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equati
Autor:
Ramin Hasani, Mathias Lechner, Alexander Amini, Lucas Liebenwein, Aaron Ray, Max Tschaikowski, Gerald Teschl, Daniela Rus
Publikováno v:
Hasani, R, Lechner, M, Amini, A, Liebenwein, L, Ray, A, Tschaikowski, M, Teschl, G & Rus, D 2022, ' Closed-form continuous-time neural networks ', Nature Machine Intelligence, vol. 4, no. 11, pp. 992-1003 . https://doi.org/10.1038/s42256-022-00556-7
Continuous-time neural networks are a class of machine learning systems that can tackle representation learning on spatiotemporal decision-making tasks. These models are typically represented by continuous differential equations. However, their expre
Publikováno v:
Advances in Mathematics. 422:109022
We develop relative oscillation theory for general Sturm-Liouville differential expressions of the form \[ \frac{1}{r}\left(-\frac{\mathrm d}{\mathrm dx} p \frac{\mathrm d}{\mathrm dx} + q\right) \] and prove perturbation results and invariance of es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ebfa670c65bb63b0ca1417b2d9f4412
http://arxiv.org/abs/2203.08938
http://arxiv.org/abs/2203.08938
Autor:
Elena Kopylova, Gerald Teschl
We derive dispersion estimates for solutions of a one-dimensional discrete Dirac equations with a potential. In particular, we improve our previous result, weakening the conditions on the potential. To this end we also provide new results concerning
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee85406889f8563b280b4c0046e240b8
https://doi.org/10.1002/mana.202000033
https://doi.org/10.1002/mana.202000033
Publikováno v:
Journal of Mathematical Analysis and Applications. 514:126251
Publikováno v:
Zurnal matematiceskoj fiziki, analiza, geometrii. 14:406-451
We derive the long-time asymptotics for the Toda shock problem using the nonlinear steepest descent analysis for oscillatory Riemann--Hilbert factorization problems. We show that the half plane of space/time variables splits into five main regions: T