Results 11 to 20 of about 13,921 (293)
Polynomial decay for the energy with an acoustic boundary condition
Applied Mathematics Letters, 2003 In this paper, we establish the polynomial decay for the energy of a wave motion in a bounded domain Ω ∋ R3 with a smooth boundary ∂Ω = Λ, on a part Λ0 of which an acoustic boundary condition in subjected.
Jaime E Muñoz Rivera, Yuming Qin
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On the time polynomial decay in elastic solids with voids
Journal of Mathematical Analysis and Applications, 2008 In this paper we investigate the temporal decay behavior of the solutions of the one-dimensional problem in various theories of continua with voids. It has been proved that the coupling of the elastic structure with porous microstructure is weak in the ...
Ramon Quintanilla
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The frequent items problem, under polynomial decay, in the streaming model
Theoretical Computer Science, 2010 We consider the problem of estimating the frequency count of data stream elements under polynomial decay functions. In these settings every element in the stream is assigned with a time-decreasing weight, using a non-increasing polynomial function. Decay
Guy Feigenblat, Ely Porat
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Polynomial asymptotic stability of damped stochastic differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2004 The paper studies the polynomial convergence of solutions of a scalar nonlinear It\^{o} stochastic differential equation\[dX(t) = -f(X(t))\,dt + \sigma(t)\,dB(t)\] where it is known, {\it a priori}, that $\lim_{t\rightarrow\infty} X(t)=0$, a.s.
John Appleby, D. Mackey
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On the global polynomial stabilization and observation with optimal decay rate
Chaos, Solitons and Fractals, 2021 International audienceNew investigations in the problems of polynomial stabilization are presented in this paper, where some relaxed results related to homogeneity theory leading to this polynomial stability with optimal decay rate are developed.
Chaker Jammazi, Mohamed Boutayeb
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Polynomial decay of correlations in the generalized baker's transformation [PDF]
International Journal of Bifurcation and Chaos, 2013 We introduce a family of area preserving generalized baker’s transformations acting on the unit square and having sharp polynomial rates of mixing for H¨older data. The construction is geometric, relying on the graph of a single variable “cut function”.
CHRISTOPHER BOSE +3 more
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Results in Applied MathematicsThis paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous ...
Tuan Anh Pham +2 more
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Sharp Polynomial Decay for Polynomially Singular Damping on the Torus
Annals of PDEWe study energy decay rates for the damped wave equation with unbounded damping, without the geometric control condition. Our main decay result is sharp polynomial energy decay for polynomially controlled singular damping on the torus. We also prove that
Kleinhenz, Perry, Wang, Ruoyu P.T.
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Polynomial energy decay of a wave–Schrödinger transmission system [PDF]
Boundary Value Problems, 2018 We study in this paper a wave–Schrödinger transmission system for its stability. By analyzing carefully Green’s functions for the infinitesimal generator of the semigroup associated with the system under consideration, we obtain a useful resolvent ...
Chengqiang Wang
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Left inverses of matrices with polynomial decay
Journal of Functional Analysis, 2010 It is known that the algebra of Schur operators on ℓ2 (namely operators bounded on both ℓ1 and ℓ∞) is not inverse-closed. When ℓ2=ℓ2(X) where X is a metric space, one can consider elements of the Schur algebra with certain decay at infinity. For instance
Tessera, Romain, Romain Tessera
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