Zobrazeno 1 - 10
of 758
pro vyhledávání: '"P. Kirilov"'
This paper explores the solvability and global hypoellipticity of Vekua-type differential operators on the n-dimensional torus, within the framework of Denjoy-Carleman ultradifferentiability. We provide the necessary and sufficient conditions for ach
Externí odkaz:
http://arxiv.org/abs/2406.13110
We analyse the sharpness of the Sobolev order for vector fields on compact Riemannian manifolds. As an application, we then prove ill-posedness for a certain class of Cauchy problems.
Comment: 7 Pages
Comment: 7 Pages
Externí odkaz:
http://arxiv.org/abs/2404.00182
This paper explores the global properties of time-independent systems of operators in the framework of Gelfand-Shilov spaces. Our main results provide both necessary and sufficient conditions for global solvability and global hypoellipticity, based o
Externí odkaz:
http://arxiv.org/abs/2403.05096
Publikováno v:
Indagationes Mathematicae, 2024
In this note, we investigate Vekua-type periodic operators of the form $Pu=Lu-Au-B\bar u$, where $L$ is a constant coefficient partial differential operator. We provide a complete characterization of the necessary and sufficient conditions for the so
Externí odkaz:
http://arxiv.org/abs/2311.10683
In this paper, we study the global properties of a class of evolution-like differential operator with a 0-order perturbation defined on the product of $r+1$ tori and $s$ spheres $\mathbb{T}^{r+1}\times(\mathbb{S}^{3})^s$, with $r$ and $s$ non-negativ
Externí odkaz:
http://arxiv.org/abs/2306.15583
Autor:
Baroni, Cosetta, Huang, Bo, Fritsche, Isabella, Dobler, Erich, Anich, Gregor, Kirilov, Emil, Grimm, Rudolf, Bastarrachea-Magnani, Miguel A., Massignan, Pietro, Bruun, Georg
Publikováno v:
Nat.Phys. 20 (2024) 68-73
The notion of quasi-particles is essential for understanding the behaviour of complex many-body systems. A prototypical example of a quasi-particle, a polaron, is an impurity strongly interacting with a surrounding medium. Fermi polarons, created in
Externí odkaz:
http://arxiv.org/abs/2305.04915
Publikováno v:
Phys. Rev. A 110, 023311, 2024
We report on the development of an advanced ultracold dysprosium apparatus, which incorporates a cold atom microscope (CAM) with a design resolution of a quarter micrometer. The CAM and the cooling and trapping regions are within the same vacuum glas
Externí odkaz:
http://arxiv.org/abs/2304.12844
We report on the preparation of a pure ultracold sample of bosonic DyK Feshbach molecules, which are composed of the fermionic isotopes 161Dy and 40K. Employing a magnetic sweep across a resonance located near 7.3 G, we produce up to 5000 molecules a
Externí odkaz:
http://arxiv.org/abs/2304.07921
Publikováno v:
Acta Medica Bulgarica, Vol 51, Iss 2, Pp 1-7 (2024)
Cushing's Syndrome (CS) is the consequence of the exposure of tissues to extremely high levels of glucocorticoids. Early diagnosis and treatment are the mainstay of optimizing patient outcomes and improving their quality of life. In the recent years
Externí odkaz:
https://doaj.org/article/2707062a847049fc8158ae8c46ff2b68
Unveiling new genetic insights in rheumatoid arthritis for drug discovery through Taxonomy3 analysis
Autor:
Justyna Kozlowska, Neil Humphryes-Kirilov, Anastasia Pavlovets, Martin Connolly, Zhana Kuncheva, Jonathan Horner, Ana Sousa Manso, Clare Murray, J. Craig Fox, Alun McCarthy
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024)
Abstract Genetic support for a drug target has been shown to increase the probability of success in drug development, with the potential to reduce attrition in the pharmaceutical industry alongside discovering novel therapeutic targets. It is therefo
Externí odkaz:
https://doaj.org/article/584d6e712d4e4cfba6408abb7dddd1ae