Results 121 to 130 of about 15,892 (238)
Generalized eigenfunctions and scattering matrices for position-dependent quantum walks
, 2019 We study the spectral analysis and the scattering theory for time evolution operators of position-dependent quantum walks. Our main purpose of this paper is construction of generalized eigenfunctions of the time evolution operator.
Morioka, Hisashi
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Initial and boundary value problems in two and three dimensions
, 2010 This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...
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Spectral Properties of the Laplace Operator with Variable Dependent Boundary Conditions in a Disk
AxiomsIn this work, we study the spectral properties of the Laplace operator with variable dependent boundary conditions in a disk. The boundary conditions include periodic and antiperiodic boundary conditions as well as the generalized Samarskii–Ionkin-type ...
Aishabibi Dukenbayeva, Makhmud Sadybekov
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On the Number of Nodal Domains of Toral Eigenfunctions
, 2016 We study the number of nodal domains of toral Laplace eigenfunctions. Following Nazarov–Sodin’s results for random fields and Bourgain’s de-randomisation procedure we establish a precise asymptotic result for “generic” eigenfunctions. Our main results in
Buckley, Jeremiah; id_orcid +1 more
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Critical sets of eigenfunctions of the Laplacian
, 2012 International audienceWe give an upper bound for the (n−1)-dimensional Hausdorff measure of the critical set of eigenfunctions of the Laplacian on compact analytic n-dimensionnal Riemannian manifolds.
Bakri, Laurent
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Neural Representation of Shape-Dependent Laplacian Eigenfunctions
The eigenfunctions of the Laplace operator are essential in mathematical physics, engineering, and geometry processing. Typically, these are computed by discretizing the domain and performing eigendecomposition, tying the results to a specific mesh ...
Grinspun, Eitan +4 more
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Exponential decay of two-body eigenfunctions: A review
Electronic Journal of Differential Equations, 2000 We review various results on the exponential decay of the eigenfunctions of two-body Schrödinger operators. The exponential, isotropic bound results of Slaggie and Wichmann for eigenfunctions of Schrödinger operators corresponding to eigenvalues below ...
Peter Hislop
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PERTURBATION OF EIGENFUNCTION EXPANSIONS [PDF]
Proceedings of the National Academy of Sciences, 1967 openaire +3 more sources
Nonlinear Systems and Exponential Eigenfunctions
, 1999 It has been shown recently that homogeneous time-invariant systems produce exponential outputs in response to similar exponential inputs, but that the concepts of "impulse response" and "frequency response" are of little use for their
Paulo J. S. G. Ferreira
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Some Simple ML Estimators in Stochastic Differential Equations [PDF]
For many stochastic differential equations often met in financial theory, it is the drift and the dispersion which are the principal parameters of the model.
Erling B. Andersen
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