Results 31 to 40 of about 16,026 (219)
Characterizations of Fock-type spaces of eigenfunctions on Rn
AIMS Mathematics, 2022 In this paper, we prove a norm equivalence for an exponential type weighted integral of an eigenfunction and its derivative on Rn. As applications, we characterize Fock-type spaces of eigenfunctions on Rn in terms of Lipschitz type conditions and double ...
Xi Fu , Xiaoqiang Xie
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Periodic boudary-value problem for Hill's equation in the case of parametric resonance [PDF]
Компьютерные исследования и моделирование, 2014 Necessary and sufficient conditions for the existence of solutions of nonlinear nonautonomous periodic problem for Hills equation in the case of parametric resonance.
Petr Viktorovich Kulish +2 more
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Computing eigenfunctions of the multidimensional Ornstein-Uhlenbeck operator [PDF]
arXiv, 2021 We discuss approaches to computing eigenfunctions of the Ornstein--Uhlenbeck (OU) operator in more than two dimensions. While the spectrum of the OU operator and theoretical properties of its eigenfunctions have been well characterized in previous research, the practical computation of general eigenfunctions has not been resolved.
arxiv
On the spatial extent of localized eigenfunctions for random Schrödinger operators [PDF]
arXiv, 2021 The present paper is devoted to new, improved bounds for the eigenfunctions of random operators in the localized regime. We prove that, in the localized regime with good probability, each eigenfunction is exponentially decaying outside a ball of a certain radius, which we call the "localization onset length".
arxiv
AIMS MathematicsIn this paper, the solvability of some inverse problems for a nonlocal analogue of a fourth-order parabolic equation was studied. For this purpose, a nonlocal analogue of the biharmonic operator was introduced.
Batirkhan Turmetov, Valery Karachik
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Orthopaedic Surgery, Volume 15, Issue 1, Page 301-314, January 2023., 2023 A study on the current status of musculoskeletal pain management research worldwide. Objective Musculoskeletal pain is the most prominent clinical manifestation of more than 150 musculoskeletal disease conditions, and its effective long‐term management poses a great challenge to healthcare systems globally.
Fengyao Mei +5 more
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Geometric Inequalities for Warped Products in Riemannian Manifolds
Mathematics, 2021 Warped products are the most natural and fruitful generalization of Riemannian products. Such products play very important roles in differential geometry and in general relativity.
Bang-Yen Chen, Adara M. Blaga
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Nonlocal Conduction in a Metawire
Advanced Materials, Volume 37, Issue 13, April 2, 2025.A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Julio Andrés Iglesias Martínez +3 more
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Spatially Controlled Optical Vortex Generation Using Low‐Loss Antimony Telluride Metasurfaces
Advanced Photonics Research, EarlyView.The spatially varying vortex beams with the customizable propagation trajectory and the controllable topological charge evolution are demonstrated using the Sb2Te3‐based plasmonic metasurfaces. Benefiting from the dispersion‐free property of the Pancharatnam–Berry phase and the broadband response of polarization conversion efficiency of the nanobrick ...
Chengsen Yang +11 more
wiley +1 more source
On a boundary problem for the fourth order equation with the third derivative with respect to time
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we consider a boundary value problem in a rectangular domain for a fourth-order homogeneous partial differential equation containing the third derivative with respect to time. The uniqueness of the solution of the stated problem is proved
Yu.P. Apakov, D.M. Meliquzieva
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