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[PDF] Top 20 Weighted L^p decay estimates of solutions to the wave equation with a potential

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Weighted L^p decay estimates of solutions to the wave equation with a potential

Weighted L^p decay estimates of solutions to the wave equation with a potential

... L p estimates for the wave equation with a potential, ...resolvent estimates and energy decay of solu- tions to the wave ... Voir le document complet

13

Exponential decay for the damped wave equation in unbounded domains

Exponential decay for the damped wave equation in unbounded domains

... term of (6.8) is decaying exponentially fast and the integral term is compact since f is compactly supported in x and due to either the compact Sobolev embedding H 1 ,→ L 2p for p < ... Voir le document complet

26

Asymptotics of Solutions of the Wave Equation on de Sitter-Schwarzschild Space

Asymptotics of Solutions of the Wave Equation on de Sitter-Schwarzschild Space

... both to allow more general initial data, not necessarily of compact support, and to study the asymptotics uniformly up to the boundary at temporal ...resolvent estimates ... Voir le document complet

17

Large time behavior  solutions to Schrödinger equation with complex-valued potential

Large time behavior solutions to Schrödinger equation with complex-valued potential

... that the behavior of non-selfadjoint Schr¨ odinger operators may differ from selfadjoint ones (see [25, ...studied the three dimensional selfadjoint operator H = −∆ + V with rapidly decreasing ... Voir le document complet

37

Unidimensional model of the ad-atom diffusion on a substrate submitted to a standing acoustic wave II. Solutions of the ad-atom motion equation

Unidimensional model of the ad-atom diffusion on a substrate submitted to a standing acoustic wave II. Solutions of the ad-atom motion equation

... in the ID domain, at a characteristic trajectory in the vicinity of the second frontier between the ID and the SD ( ˜ F = ...4.96). The IC of the ... Voir le document complet

14

Gevrey estimates of the resolvent and sub-exponential time-decay of solutions

Gevrey estimates of the resolvent and sub-exponential time-decay of solutions

... kind of estimate for fixed s has already appeared in [32]. The unifor- mity on s ∈ R is crucial in present work, because it allows to control norms of the resolvent in weighted ... Voir le document complet

51

Numerical controllability of the wave equation through primal methods and Carleman estimates

Numerical controllability of the wave equation through primal methods and Carleman estimates

... deals with the numerical computation of boundary null controls for the 1D wave equation with a ...potential. The goal is to compute ... Voir le document complet

34

On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates

On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates

... provide the Cauchy data (g 0 , g 1 ). It is important to note that in practice those measurements are contaminated by some ...Due to Holmgren’s theorem, the Cauchy problem ( 1 ) has at most ... Voir le document complet

36

$S$-integral solutions to a Weierstrass equation

$S$-integral solutions to a Weierstrass equation

... did a limited search for integral solutions, and found that there is a large, but of course finite, number of ...it a natural question to ask for all the integral ... Voir le document complet

22

Global infinite energy solutions for the cubic wave equation

Global infinite energy solutions for the cubic wave equation

... constructing solutions of nonlinear evolution equations. It has the advantage to require less regularity on the initial data, one allows infinite energy while the Leray method ... Voir le document complet

13

On P-wave meson decay constants in the heavy quark limit of QCD

On P-wave meson decay constants in the heavy quark limit of QCD

... in the decays (7) is just a model and is not in a firm status as in the light meson emission case (6) ...[8]. To summarize, “broad” resonances (j = 1 2 ) are expected to be ... Voir le document complet

7

DECAY FOR THE KELVIN-VOIGT DAMPED WAVE EQUATION: PIECEWISE SMOOTH DAMPING

DECAY FOR THE KELVIN-VOIGT DAMPED WAVE EQUATION: PIECEWISE SMOOTH DAMPING

... implies the exponential stabilization, which holds for the wave equation with localized viscous damping a(x)∂ t u (see [ LR05 , Zh18 ] for results using the multiplier ... Voir le document complet

34

Tenth order solutions to the NLS equation with eighteen parameters

Tenth order solutions to the NLS equation with eighteen parameters

... NLS equation, wronskians, Peregrine breather, rogue ...solved the nonlinear Schrodinger equation (NLS) [18, 19] using the inverse scattering method [1, ...2]. The case of ... Voir le document complet

16

DECAY OF LOCAL ENERGY FOR SOLUTIONS OF THE FREE SCHRÖDINGER EQUATION IN EXTERIOR DOMAINS

DECAY OF LOCAL ENERGY FOR SOLUTIONS OF THE FREE SCHRÖDINGER EQUATION IN EXTERIOR DOMAINS

... ]u(s)ds. The first term is estimated by applying (3.3). The idea to estimate the non homogeneous term is to use for e −i(t−s)P 0 the estimate ...χ]u(s) the estimate ... Voir le document complet

25

S-wave and P-wave non-strange baryons in the potential model of QCD

S-wave and P-wave non-strange baryons in the potential model of QCD

... In the quark model, the baryons are represented as bound states of three quarks, confined by strong ...as the theory of strong interactions, is however not able to describe ... Voir le document complet

26

Low frequency dispersive estimates for the wave equation in higher dimensions

Low frequency dispersive estimates for the wave equation in higher dimensions

... proof of the above estimates works out in the case n = 3, too, for potentials satysfying ...as the condition V ∈ L 3/2−ǫ with some 0 < ǫ ≪ ...however, a similar result ... Voir le document complet

11

From the Newton equation to the wave equation : the case of shock waves

From the Newton equation to the wave equation : the case of shock waves

... 4 The linear case When the potential is quadratic, the corresponding wave equation (4) is ...when the initial conditions are regular, shocks never occur. Furthermore, ... Voir le document complet

42

Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation

Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation

... on a posteriori estimation for the Helmholtz equation Early work in 1D, with first-order FE: ...1997: A posteriori error estimation for finite element solutions of ... Voir le document complet

81

A FUNCTIONAL EQUATION WITH POLYNOMIAL SOLUTIONS AND APPLICATION TO NEURAL NETWORKS

A FUNCTIONAL EQUATION WITH POLYNOMIAL SOLUTIONS AND APPLICATION TO NEURAL NETWORKS

... considering the literature [8] on the current understanding of the mathemati- cal structure of Neural Networks, the most original output of the construction is ... Voir le document complet

14

Very singular solutions to a nonlinear parabolic equation with absorptionII- Uniqueness

Very singular solutions to a nonlinear parabolic equation with absorptionII- Uniqueness

... where a = (2 − p)/(p − ...solution to (1.1). The purpose of this paper is to extend this uniqueness result without the self-similarity ...that the name very ... Voir le document complet

18

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