Results 11 to 20 of about 66,959 (230)
Concentration of symmetric eigenfunctions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 8 ...
Azagra, Daniel, Macia Lang, Fabricio
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Entropy of Eigenfunctions [PDF]
, 2009 We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and improve this lower bound in the case of variable negative curvature.
Anantharaman, Nalini +2 more
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An Assessment of High-Order-Mode Analysis and Shape Optimization of Expansion Chamber Mufflers
Archives of Acoustics, 2014 A substantial quantity of research on muffler design has been restricted to a low frequency range using the plane wave theory. Based on this theory, which is a one-dimensional wave, no higher order wave has been considered.
Min-Chie CHIU, Ying-Chun CHANG
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Eigenfunction Families and Solution Bounds for Multiplicatively Advanced Differential Equations
Axioms, 2020 A family of Schwartz functions W ( t ) are interpreted as eigensolutions of MADEs in the sense that W ( δ ) ( t ) = E W ( q γ t ) where the eigenvalue E ∈ R is independent of the advancing parameter q > 1 .
David W. Pravica +2 more
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Axioms, 2022 This article discusses the author’s version of the technology for solving a one-dimensional boundary value problem for a one-dimensional advection–diffusion equation based on the method of separation of variables, as well as the theory of eigenvalues and
Temirkhan Aleroev, Victor Orlov
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Effective decoupling method for derivation of eigenfunctions for closed cylindrical shell
Mechanics and Advanced Technologies, 2023 By expansion into Fourier series along the circumferential coordinate, the problem for elastic thin-walled closed cylindrical shell is reduced to 8th order differential equation with respect to axial coordinate.
Hlib Yudin, Igor Orynyak
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Boundedness of the number of nodal domains for eigenfunctions of generic Kaluza-Klein $3$-folds [PDF]
, 2019 This article concerns the number of nodal domains of eigenfunctions of the Laplacian on special Riemannian $3$-manifolds, namely nontrivial principal $S^1$ bundles $P \to X$ over Riemann surfaces equipped with certain $S^1$ invariant metrics, the Kaluza ...
Jung, Junehyuk, Zelditch, Steve
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Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations
Mathematics, 2020 It is shown that if we exclude the existence of nontrivial small solutions, then a linear autonomous functional differential equation has a nontrivial nonnegative solution if and only if it has a nonnegative eigenfunction.
Mihály Pituk
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Prescribing the nodal set of the first eigenfunction in each conformal class [PDF]
, 2015 We consider the problem of prescribing the nodal set of the first nontrivial eigenfunction of the Laplacian in a conformal class. Our main result is that, given a separating closed hypersurface $\Sigma$ in a compact Riemannian manifold $(M,g_0)$ of ...
Enciso, Alberto +2 more
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Vibrating systems with heavy soft inclusions (in Ukrainian) [PDF]
Математичні Студії, 2012 The Neumann spectral problem for an elliptic operator of the second order with singularly perturbed coefficients is considered. The asymptotic behavior of eigenvalues and eigenfunctions is studied.
V. M. Hut
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