10 documentos corresponden a la consulta.
Palabras contadas: eigenfunctions: 15, eigenvalues: 25
Castro, M.J. - Pinasco, J.P.
Appl Math Lett 2010;23(11):1355-1360
2010
Temas: Inequalities - Lower bound of eigenvalues - p-Laplacian - Eigenvalue problem - Eigenvalues - Inequalities - Lower bounds - Monotonic functions - P-Laplacian - Quasilinear problems
Descripción: In this work we extend an inequality of Nehari to the eigenvalues of weighted quasilinear problems involving the p-Laplacian when the weight is a monotonic function. We apply it to different eigenvalue problems. © 2010 Elsevier Ltd. All rights reserved.
...ver más Tipo de documento: info:ar-repo/semantics/artículo
Wisniacki, D.A. - Vergini, E.
Phys Rev E. 2000;62(4)
2000
Temas: Chaos theory - Eigenvalues and eigenfunctions - Functions - Hamiltonian systems - Quantum theory
Descripción: Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
...ver más Tipo de documento: info:ar-repo/semantics/artículo
Wisniacki, D.A. - Borondo, F. - Vergini, E. - Benito, R.M.
Phys Rev E. 2000;62(6)
2000
Temas: Eigenvalues and eigenfunctions - Fourier transforms - Quantum theory - Spectrum analysis - Periodic orbits - Chaos theory
Descripción: Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
...ver más Tipo de documento: info:ar-repo/semantics/artículo
Armentano, M.G.
Math. Model. Numer. Anal. 2004;38(1):27-36
2004
Descripción: In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions. the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough.
...ver más Tipo de documento: info:ar-repo/semantics/artículo
Solari, H.G. - Natiello, M.A. - Vázquez, M.
Phys Rev E. 1996;54(4):3185-3195
1996
Temas: Atomic physics - Eigenvalues and eigenfunctions - Geometry - Lasers - Partial differential equations - Three dimensional - Topology - Boyland theorem - Braids - Periodic orbits
Descripción: Fil:Solari, H.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
...ver más Tipo de documento: info:ar-repo/semantics/artículo
Alcoba, D.R. - Lain, L. - Torre, A. - Bochicchio, R.C.
J Chem Phys 2005;123(14)
2005
Temas: Atomic domains - Density matrix - Electron system - Spatial decomposition - Atoms - Chemical bonds - Eigenvalues and eigenfunctions - Electrons - Matrix algebra - Molecules
Descripción: This work describes a simple spatial decomposition of the first-order reduced density matrix corresponding to an N -electron system into first-order density matrices, each of them associated to an atomic domain defined in the theory of atoms in molecules. A study of the representability of the density matrices arisen from this decomposition is reported and analyzed. An appropriate treatment of the eigenvectors of the matrices defined over atomic domains or over unions of these domains allows one to describe satisfactorily molecular properties and chemical bondings within a determined molecule and among its fragments. Numerical determinations, performed in selected molecules, confirm the reliability of our proposal. © 2005 American Institute of Physics.
...ver más Tipo de documento: info:ar-repo/semantics/artículo
Pérez-Llanos, M. - Rossi, J.D.
J. Math. Anal. Appl. 2010;363(2):502-511
2010
Descripción: In this paper we study the behaviour of the solutions to the eigenvalue problem corresponding to the p (x)-Laplacian operator{(- div (| ∇ u |p (x) - 2 ∇ u) = Λp (x) | u |p (x) - 2 u,, in Ω,; u = 0,, on ∂ Ω,) as p (x) → ∞. We consider a sequence of functions pn (x) that goes to infinity uniformly in over(Ω, -). Under adequate hypotheses on the sequence pn, namely that the limits∇ ln pn (x) → ξ (x), and frac(pn, n) (x) → q (x) exist, we prove that the corresponding eigenvalues Λpn and eigenfunctions upn verify that(Λpn)1 / n → Λ∞, upn → u∞ uniformly in over(Ω, -), where Λ∞, u∞ is a nontrivial viscosity solution of the following problem{(min {- Δ∞ u∞ - | ∇ u∞ |2 log (| ∇ u∞ |) 〈 ξ, ∇ u∞ 〉, | ∇ u∞ |q - Λ∞ u∞ q} = 0, in Ω,; u∞ = 0, on ∂ Ω .). © 2009 Elsevier Inc. All rights reserved.
...ver más Tipo de documento: info:ar-repo/semantics/artículo
Bonder, J.F. - Dozo, E.L. - Rossi, J.D.
Anna Inst Henri Poincare Annal Anal Non Lineaire 2004;21(6):795-805
2004
Temas: Nonlinear boundary conditions - Sobolev trace embedding - Bessel functions - Boundary value problems - Eigenvalues and eigenfunctions - Mathematical models - Problem solving - Theorem proving - Nonlinear boundary conditions - Sobolev trace embedding
Descripción: In this article we study symmetry properties of the extremals for the Sobolev trace embedding H1(B(0,μ))→Lq(∂B(0, μ)) with 1≤q≤2(N-1)/(N-2) for different values of μ. These extremals u are solutions of the problem Δu=uinB(0,μ),∂u∂η= λ|u|q-2uon∂B(0,μ). We find that, for 1≤q<2(N-1)/(N-2), there exists a unique normalized extremal u, which is positive and has to be radial, for μ small enough. For the critical case, q=2(N-1)/(N-2), as a consequence of the symmetry properties for small balls, we conclude the existence of radial extremals. Finally, for 1<q≤2, we show that a radial extremal exists for every ball. © 2004 Elsevier SAS. All rights reserved.
...ver más Tipo de documento: info:ar-repo/semantics/artículo
Melo, J.I. - Ruiz de Azua, M.C. - Giribet, C.G. - Aucar, G.A. - Romero, R.H.
J Chem Phys 2003;118(2):471-486
2003
Temas: Approximation theory - Differential equations - Eigenvalues and eigenfunctions - Ground state - Hamiltonians - Magnetic shielding - Matrix algebra - State space methods - Tensors - Coulomb and Breit two-body interaction operators
Descripción: A two-component theory for shielding calculations starting from a four-component Rayleigh-Schrodinger perturbation theory (RSPT) formalism is presented. Thus, a set of operators entering the RSPT expressions in terms of the Schrodinger molecular spectrum are derived by expanding such four-component expression as a power series in c-1. All formal expressions are retained, without neglecting any terms in the intermediate steps of the derivation.
...ver más Tipo de documento: info:ar-repo/semantics/artículo
González, R. - Costa, A. - Santini, E.S.
Phys. Fluids 2010;22(7):1-7
2010
Temas: Arnold's theorem - Axisymmetric flow - Basic flow - Beltrami - Beltrami flow - Complex topology - Eigen-value - Enstrophy - Euler flows - Flow experience
Descripción: In a previous paper [R. González, L. G. Sarasua, and A. Costa, "Kelvin waves with helical Beltrami flow structure," Phys. Fluids20, 024106 (2008)] we analyzed the formation of Kelvin waves with a Beltrami flow structure in an ideal fluid. Here, taking into account the results of this paper, the topological analogy between the role of the magnetic field in Woltjer's theorem [L. Woltjer, "A theorem on force-free magnetic fields," Proc. Natl. Acad. Sci. U.S.A.44, 489 (1958)] and the role of the vorticity in the equivalent theorem is revisited. Via this analogy we identify the force-free equilibrium of the magnetohydrodynamics with the Beltrami flow equilibrium of the hydrodynamic. The stability of the last one is studied applying Arnold's theorem. We analyze the role of the enstrophy in the determination of the equilibrium and its stability. We show examples where the Beltrami flow equilibrium is stable under perturbations of the Beltrami flow type with the same eigenvalue as the basic flow one. The enstrophy variation results invariant with respect to a uniform rotating and translational frame and the stability is conserved when the flow experiences a transition from a Beltrami axisymmetric flow to a helical one of the same eigenvalue. These results are discussed in comparison with that given by Moffatt in 1986 [H. K. Moffatt, "Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 2. Stability considerations," J. Fluid Mech.166, 359 (1986)]. © 2010 American Institute of Physics.
...ver más Tipo de documento: info:ar-repo/semantics/artículo