Results 41 to 50 of about 20,411 (217)
Basis Properties of Fučík Eigenfunctions
Analysis Mathematica, 2022 We establish sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$.
Baustian, F., Bobkov, V.
openaire +3 more sources
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
Mathematische Nachrichten, EarlyView.ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
Multifractal eigenfunctions for a singular quantum billiard [PDF]
, 2021 Whereas much work in the mathematical literature on quantum chaos has focused on phenomena such as quantum ergodicity and scarring, relatively little is known at the rigorous level about the existence of eigenfunctions whose morphology is more complex ...
Keating, Jonathan +3 more
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A family of Fourier transform's eigenfunctions
This paper presents a family of Fourier eigenfunctions indexed by the space dimension d. These eigenfunctions are radial and built upon some generalized exponential integral function.
Garbit, Rodolphe, Zinoune, Julien-Bilal
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Eigenfunctions on an infinite Schrödinger network
Open MathematicsIn this article, we show that there is a one-to-one correspondence between the eigenfunctions associated with the perturbed Laplacian operator Δq{\Delta }_{q} on a Schrödinger infinite network {X,t,q}\{X,t,q\} with weight function q(a)q\left(a) and the ...
Bajunaid Ibtesam +2 more
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Diffraction by Circular Pin: Wiener–Hopf Method
MathematicsIn this paper, the boundary value problem of wave diffraction on a semi-infinite circular pin is solved using the Wiener–Hopf method with compensation of eigenmodes.
Seil Sautbekov +2 more
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Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
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Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, the solvability of initial-boundary value problems for a nonlocal analogue of a hyperbolic equation in a cylindrical domain is studied. The elliptic part of the considered equation involves a nonlocal Laplace operator, which is introduced
M.T. Baizhanova, B.Kh. Turmetov
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2D Piecewise Linear Scalar Fields with Invertible Integral Lines
Computer Graphics Forum, EarlyView.Abstract Integral lines of the gradient flow are standard features in continuously differentiable scalar fields that enjoy some useful properties: They cover the domain densely, do not split, merge, or intersect, and are therefore invertible. For widely used discretizations of scalar fields, the corresponding polygonal approximations of integral lines ...
T.L. Erxleben +3 more
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Biorthogonality condition for creeping motion in annular trenches
International Journal of Mathematics and Mathematical Sciences, 2000 The biorthogonality condition for Stokes flow in annular trenches bounded by horizontal parallel planes and concentric vertical cylinders is derived. This condition, is needed to compute the coefficients of the eigenfunction expansion solution of the ...
Suheil A. Khuri
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