227 citations
- Donetsk Institute for Physics and Engineering named after O.O. GalkinUA2 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR2 papers
- Swansea UniversityGB2 papers
- Université de ToursFR2 papers
- B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of UkraineUA1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Donetsk National Technical UniversityUA1 paper
- Mathematical Institute of the Slovak Academy of SciencesSK1 paper
- St Petersburg UniversityRU1 paper
- University of Alabama at BirminghamUS1 paper
- University of CalgaryCA1 paper
- University of MissouriUS1 paper
9 papers
Ultrametricity and metric betweenness in tangent spaces to metric spaces
O. Dovgoshey, D. Dordovskyi
The paper deals with pretangent spaces to general metric spaces. An ltrametricity criterion for pretangent spaces is found and it is closely related to the metric betweenness in th…
On the Spectral Analysis of Direct Sums of Riemann-Liouville Operators in Sobolev Spaces of Vector Functions
I. Yu. Domanov, M. M. Malamud
Let be a real power of the integration operator defined on Sobolev space . We investigate the spectral properties of the operator $A_k=\bigoplus_{j=1}^n λ…
Long-Time Asymptotics for the Camassa-Holm Equation
Anne Boutet de Monvel, Aleksey Kostenko, Dmitry Shepelsky +1
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Camassa-Holm equation for decaying initial data, completing previous results by A. Bou…
Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications
Fritz Gesztesy, Mark Malamud, Marius Mitrea +1
We study generalized polar decompositions of densely defined, closed linear operators in Hilbert spaces and provide some applications to relatively (form) bounded and relatively (f…
Generalized Jacobi operators in Krein spaces
Maxim Derevyagin
A special class of generalized Jacobi operators which are self-adjoint in Krein spaces is presented. A description of the resolvent set of such operators in terms of solutions of t…
Diffusion versus absorption in semilinear parabolic equations
Andrey Shishkov, Laurent Veron
We study the limit, when , of the solutions of (E) $\prt_{t}u-Δu+ h(t)u^q=0$ in $\BBR^N\ti (0,\infty)$, , with , . If $h(t)=e^…