[PDF] Top 20 Uniform observability estimates for the 1-D discretized wave equation and the random choice method
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Uniform observability estimates for the 1-D discretized wave equation and the random choice method
... )×(0,a)) for Eq. (1) and ku |t=0 k L 2 (T;R 2 ) ...) for Eq. (3), see for instance [4, Chapitre VII, Lemme ...in the case of the wave ...get uniform ... Voir le document complet
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Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using finite-difference method
... The paper is organized as follows. In Section 1, we present some known results concerning the question of the numerical control of the 1 − D wave equations and we ... Voir le document complet
20
Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using a finite-difference method
... The paper is organized as follows. In Section 1, we present some known results concerning the question of the numerical control of the 1 − D wave equations and we ... Voir le document complet
19
Uniform L ∞ estimates for approximate solutions of the bipolar drift-diffusion system
... (5b) and B is the Bernoulli function B(x) = x/(e x − 1) for x 6= 0, B(0) = ...[2], the existence of a solution to scheme (4)-(5) and the boundedness of the ... Voir le document complet
8
Uniform null-controllability properties for space/time-discretized parabolic equations
... introduce the setting of the article, in particular the discrete ...how the partial spectral inequality can be used to prove the null controllability of the lower part of ... Voir le document complet
49
Dispersion for the wave equation outside a ball and counterexamples
... Concerning the Schr¨odinger equation, the dispersive estimates read as follows: ke ±it∆ Rd k L 1 (R d )→L ∞ (R d ) ≤ C(d)|t| −d/2 ...in the present paper is to obtain dispersive ... Voir le document complet
7
Decay rates for the damped wave equation on the torus
... Burq and Hitrik [BH07] (see also [Nis09]) to the case of partially rectangular two-dimensional domains, if the set {b > 0} contains a neighbourhood of the non-rectangular ...−δ for ... Voir le document complet
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Weighted L^p decay estimates of solutions to the wave equation with a potential
... λ and ε. Moreover, since the operator G has no strictly positive real resonances, it is easy to see that in fact ...holds for every λ 0 > 0 with a constant C > 0 depending on λ 0 ... Voir le document complet
13
Uniform estimates on the Fisher information for solutions to Boltzmann and Landau equations
... statistics and information ...regularity and rate of convergence for solutions to several partial differential ...in the study of Fokker-Planck equation, the control of ... Voir le document complet
21
Spectral deviations for the damped wave equation
... M. The case where ω takes purely imaginary values is self-adjoint, and analogous to the study of “Bloch ...waves”. The case where ω takes real values is no longer ...motivation for ... Voir le document complet
35
Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation
... potential and ψ 0 is a given initial data that we assume to be compactly ...supported. The maximal time of computation is denoted by T ...space and time according to the configuration. In ... Voir le document complet
18
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation
... obtained for elliptic ...that the lower bound does not depend on the polynomial degree p. The recent work [20] proposes to use this type of estimators for discon- tinuous Galerkin ... Voir le document complet
42
On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
... provide the Cauchy data (g 0 , g 1 ...theorem, the Cauchy problem ( 1 ) has at most one ...in the sense of Hadamard: existence may not hold for some data (g 0 , g 1 ), as ... Voir le document complet
36
Control and stabilization for the wave equation in an expanding domain
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet
27
Global infinite energy solutions for the cubic wave equation
... In the case d = 4 one may expect to get uniqueness by combining the analysis of [8] with the critical H 1 theory for ...include the case s = 0 by elaborating on the ... Voir le document complet
13
Optimal design of boundary observers for the wave equation
... necessarily the whole space H 1 0 (Ω, C) × L 2 (Ω, C) in the definition of the observability constant C T (χ Γ ...20]. The authors propose a new average observability ... Voir le document complet
11
Toward Uniform Random Generation in 1-safe Petri Nets
... once and for all, and by a marking M of the net we mean any marking reachable from M 0 ...on the executions of Petri nets. The idea is to underline the concurrency ... Voir le document complet
11
Error estimates for a finite volume method for the Laplace equation in dimension one through discrete Green functions.
... is the equivalent of the “midpoint” for a polygonal convex cell? A reasonable answer to this question seems to be the barycenter of the cell; however the above-mentioned ... Voir le document complet
19
Asymptotic-preserving method for the vorticity equation
... in the validation of the proposed AP-scheme, which was especially designed to capture efficiently and accurately all ϵ-regimes, notably the ϵ → 0 limit ...restrict the study to 2D flows. ... Voir le document complet
33
A Finite dimension implementation of hum exact controllability method for the one dimension wave equation
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet
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