Results 21 to 30 of about 73,015 (248)
On the Analytic Solution of the Balitsky-Kovchegov Evolution Equation [PDF]
, 2015 The study presents an analytic solution of the Balitsky-Kovchegov~(BK) equation in a particular kinematics. The solution is written in the momentum space and based on the eigenfunctions of the truncated Balitsky-Fadin-Kuraev-Lipatov~(BFKL) equation in ...
Bondarenko, Sergey, Prygarin, Alex
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In the article it is shown that the homogeneous Volterra integral equation of the second kind, to which the homogeneous boundary value problem of heat conduction in the degenerating domain is reduced, has a nonzero solution.
D.M. Akhmanova +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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The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering
Open Mathematics, 2020 In this study, for the first time, we discuss the posteriori error estimates and adaptive algorithm for the non-self-adjoint Steklov eigenvalue problem in inverse scattering.
Zhang Yu, Bi Hai, Yang Yidu
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Nodal count of graph eigenfunctions via magnetic perturbation
, 2011 We establish a connection between the stability of an eigenvalue under a magnetic perturbation and the number of zeros of the corresponding eigenfunction. Namely, we consider an eigenfunction of discrete Laplacian on a graph and count the number of edges
Band +10 more
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, 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.
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Singularly perturbed spectral problems with Neumann boundary conditions [PDF]
, 2015 The paper deals with the Neumann spectral problem for a singularly perturbed second order elliptic operator with bounded lower order terms. The main goal is to provide a refined description of the limit behaviour of the principal eigenvalue and ...
Piatnitski, A., Rybalko, A., Rybalko, V.
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A lower bound for nodal count on discrete and metric graphs
, 2006 According to a well-know theorem by Sturm, a vibrating string is divided into exactly N nodal intervals by zeros of its N-th eigenfunction. Courant showed that one half of Sturm's theorem for the strings applies to the theory of membranes: N-th ...
A.M. Duval +17 more
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The "hot spots" problem in planar domains with one hole [PDF]
, 2004 There exists a planar domain with piecewise smooth boundary and one hole such that the second eigenfunction for the Laplacian with Neumann boundary conditions attains its maximum and minimum inside the ...
Burdzy, Krzysztof
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AIMS MathematicsIn this paper, the solvability of some inverse problems for a nonlocal analogue of a fourth-order parabolic equation was studied. For this purpose, a nonlocal analogue of the biharmonic operator was introduced.
Batirkhan Turmetov, Valery Karachik
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