Results 71 to 80 of about 112,078 (333)
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
doaj +1 more source
Weighted Eigenfunction Estimates with Applications to Compressed Sensing [PDF]
SIAM Journal on Mathematical Analysis, 2011 Using tools from semiclassical analysis, we give weighted L^\infty estimates for eigenfunctions of strictly convex surfaces of revolution. These estimates give rise to new sampling techniques and provide improved bounds on the number of samples necessary
N. Burq +3 more
semanticscholar +1 more source
Nodal inequalities on surfaces
, 2006 Given a Laplace eigenfunction on a surface, we study the distribution of its extrema on the nodal domains. It is classically known that the absolute value of the eigenfunction is asymptotically bounded by the 4-th root of the eigenvalue.
Chavel +4 more
core +3 more sources
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
wiley +1 more source
Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of L\'{e}vy processes [PDF]
, 2012 We introduce a class of L\'{e}vy processes subject to specific regularity conditions, and consider their Feynman-Kac semigroups given under a Kato-class potential. Using new techniques, first we analyze the rate of decay of eigenfunctions at infinity. We
K. Kaleta, J'ozsef LHorinczi
semanticscholar +1 more source
, 2009 A simple sufficient condition on curved end of a straight cylinder is found that provides a localization of the principal eigenfunction of the mixed boundary value for the Laplace operator with the Dirichlet conditions on the lateral side.
Cardone, G., Durante, T., Nazarov, S. A.
core +1 more source
A Nonhomogeneous Eigenfunction Expansion [PDF]
Transactions of the American Mathematical Society, 1965 Non-selfadjoint expressions of the form ly = y" + q(x)y have begun to be studied extensively in the past few years, and in two instances Naimark [4] (on the interval [0, oo)) and Kemp [3] (on the interval (oo, oo)) have achieved expansions in terms of eigenfunctions of 1.
openaire +2 more sources
Multifractality of eigenfunctions in spin chains [PDF]
Physical Review E, 2012 We investigate different one-dimensional quantum spin-1/2 chain models and by combining analytical and numerical calculations prove that their ground state wave functions in the natural spin basis are multifractals with, in general, non-trivial fractal dimensions.
Atas, Yasar Yilmaz, Bogomolny, Eugene
openaire +5 more sources
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
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
wiley +1 more source