Results 211 to 220 of about 302,460 (378)
The One‐Dimensional Coulomb Hamiltonian: Properties of Its Birman–Schwinger Operator
ABSTRACT The objective of the present paper is to study in detail the properties of the Birman–Schwinger operator for a self‐adjoint realization of the one‐dimensional Hamiltonian with the Coulomb potential, both when the Hamiltonian is defined only on ℝ+$$ {\mathbb{R}}_{+} $$ and when it is defined on the whole real line.
S. Fassari+4 more
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Surface Laplacian based Single Channel Activity (SCA) in control subjects and stroke patients
Zsolt Nagy
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ABSTRACT In this paper, we present a stable numerical scheme for solving two‐dimensional m$$ m $$‐component reaction–diffusion systems. The proposed approach utilizes the backward Euler method for temporal discretization and the hybridized discontinuous Galerkin (HDG) method for spatial discretization.
Shima Baharlouei+2 more
wiley +1 more source
Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals [PDF]
Jun Kigami, Michel L. Lapidus
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ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad+1 more
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Nodal sets for eigenfunctions of the Laplacian on surfaces [PDF]
Harold Donnelly, Charles Fefferman
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Normalized Laplacian spectrum of some subdivision-joins and R-joins of two regular graphs
In this paper we determine the full normalized Laplacian spectrum of the subdivision-vertex join, subdivision-edge join, R-vertex join, and R-edge join of two regular graphs in terms of the normalized Laplacian eigenvalues of the graphs.
Arpita Das, Pratima Panigrahi
doaj
A hybrid computer method for two dimensional calculations involving the Laplacian operator
Richard Lee Jaworski
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Multiple solutions for the $p$-Laplacian under global nonresonance [PDF]
Manuel del Pino, Raúl Manásevich
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Abstract Purpose The aim is to establish the relationship between carotid susceptibility and microstructural components in diseased carotid arteries. Methods Excised cadaveric carotid arteries (n = 5) were scanned using high‐resolution QSM at 7 Tesla. After ex vivo imaging, all samples were brought to histology and stained for elastin, collagen, cells,
Alan J. Stone+4 more
wiley +1 more source