Results 41 to 50 of about 342,447 (287)

The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa-Holm equation [PDF]

, 2018
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.Comment: 18 pages, 1 ...
Eckhardt, Jonathan, Kostenko, Aleksey
core   +2 more sources

Two inverse spectral problems for a class of singular Krein strings

, 2013
We solve the inverse problem from the spectral measure and the inverse three-spectra problem for the class of singular Krein strings on a finite interval with trace class resolvents.
Eckhardt, Jonathan
core   +1 more source

The Zakharov-Shabat spectral problem on the semi-line: Hilbert formulation and applications

, 2001
The inverse spectral transform for the Zakharov-Shabat equation on the semi-line is reconsidered as a Hilbert problem. The boundary data induce an essential singularity at large k to one of the basic solutions.
A Spire, Ablowitz M J, Belokolos E D, Bibikov P N, Bikbaev R F, Bikbaev R F, Boiti M, Boiti M, Boutet de Monvel A, Doktorov E V, Doktorov E V, Fokas A S, Hugot F-X, Hugot F-X, Iliev I D, J Leon, Levitan B M, Mushkhelishvili N I, Pelloni B, Sakhnovich L A, Sakhnovich L A, Sklyanin E K, Takhtadzhyan L A, Zakharov V E   +23 more
core   +3 more sources

Multidimensional Borg-Levinson Theorem [PDF]

, 2004
We consider the inverse problem of the reconstruction of a Schr\"odinger operator on a unknown Riemannian manifold or a domain of Euclidean space. The data used is a part of the boundary $\Gamma$ and the eigenvalues corresponding to a set of impedances ...
Aktosun T Weder R, Belishev M, Belishev M I, Belishev M I, Birman M S, Borg G, Borg G, Gasymov M G, Gasymov M G, Gelfand I, Hörmander L, Hörmander L, Iwaniec T Martin G, Katchalov A, Katchalov A, Katchalov A Kurylev Y Lassas M, Kato T, Kurylev Y, Levinson N, Levitan B M, Marchenko V A, Matti Lassas, Novikov R, Ricardo Weder, Sylvester J, Uhlenbeck K, Yaroslav Kurylev   +26 more
core   +1 more source

On the isospectral problem of the dispersionless Camassa-Holm equation

, 2013
We discuss direct and inverse spectral theory for the isospectral problem of the dispersionless Camassa--Holm equation, where the weight is allowed to be a finite signed measure.
Beals, Bennewitz, Bennewitz, Bennewitz, Binding, Boutet de Monvel, Boutet de Monvel, Boutet de Monvel, Bressan, Constantin, Constantin, Constantin, Constantin, Constantin, Constantin, Constantin, Constantin, Deift, Dym, Eckhardt, Falkner, Fulton, Fulton, Gerald Teschl, Gesztesy, Gohberg, Grunert, Grunert, Holden, Johnson, Jonathan Eckhardt, Kac, Kac, Kats, Kodaira, Kostenko, Kostenko, Kostenko, Kostenko, Kotani, Kreĭn, Kreĭn, Langer, Li, Loubet, McKean, McKean, McKean, Reed, Zettl   +49 more
core   +3 more sources

Necessary and Sufficient Conditions for the Solvability of Inverse Problem for a Class of Dirac Operators [PDF]

, 2014
In this paper, we consider a problem for the first order Dirac differential equations system with spectral parameter dependent in boundary condition.
Akcay, O., Mamedov, Kh. R.
core   +3 more sources

Local Solvability and Stability of an Inverse Spectral Problem for Higher-Order Differential Operators

Mathematics, 2023
In this paper, we, for the first time, prove the local solvability and stability of an inverse spectral problem for higher-order (n>3) differential operators with distribution coefficients.
Natalia P. Bondarenko
doaj   +1 more source

Inverse Scattering Transform for the Camassa-Holm equation [PDF]

, 2006
An Inverse Scattering Method is developed for the Camassa-Holm equation. As an illustration of our approach the solutions corresponding to the reflectionless potentials are explicitly constructed in terms of the scattering data.
Adrian Constantin, Beals R, Bennewitz C, Birkhoff G, Camassa R, Constantin A, Constantin A, Constantin A, Gesztesy F, Hone A, Ivanov R I, Johnson R S, Lenells J, Lenells J, Li Y, Li Y, Novikov S P, Parker A, Parker A, Parker A, Rossen I Ivanov, Vladimir S Gerdjikov   +21 more
core   +5 more sources

The Partial Inverse Spectral and Nodal Problems for Sturm–Liouville Operators on a Star-Shaped Graph

Mathematics, 2022
We firstly prove the Horváth-type theorem for Sturm–Liouville operators on a star-shaped graph and then solve a new partial inverse nodal problem for this operator.
Xian-Biao Wei, Yan-Hsiou Cheng, Yu-Ping Wang   +2 more
doaj   +1 more source

A light‐triggered Time‐Resolved X‐ray Solution Scattering (TR‐XSS) workflow with application to protein conformational dynamics

FEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei, Fredrik Orädd, Konstantinos Magkakis, Magnus Andersson   +3 more
wiley   +1 more source