[PDF] Top 20 Semiclassical resolvent estimates for Holder potentials

... [11]. The assumption that n = 1 outside some compact is only necessary to study the low-frequency behavior of the cut-off resolvent of G. Indeed, under this assumption one can easily see that this behavior is ... Voir le document complet

... the semiclassical resolvent estimates obtained recently in [8], [12], [13] and [14] for the Schr¨ odinger operator in the Euclidean space R n to a large class of non-compact, connected ... Voir le document complet

... On resolvent estimates and resonance free regions for semiclassical Schr¨ odinger operators with bounded potentials, Pure and Applied Analysis, to ...Shapiro, Semiclassical ... Voir le document complet

... the resolvent estimate ...holds for all 0 < h ≪ 1, 0 < θ ≤ ǫha −2k and s satisfying ...hand, for θ ≥ ǫha −2k the estimate ...the resolvent is upper bounded by θ −1 = O(h −2km−2 ... Voir le document complet

... limit for a non-dissipative Helmholtz ...the resolvent estimates of Robert-Tamura and prove the limiting absorption ...the semiclassical measures of the solution when the source term ... Voir le document complet

... question for simple models of com- pletely integrable ...our semiclassical operators on the asymptotic distribution of eigenvalues but also on resolvent estimates near the real ... Voir le document complet

... Carleman estimates in the spirit of [` Ema95] allow to generalize theorem ...of potentials and to semilinear parabolic equations remains ...non semiclassical results are all proved in section 4 under ... Voir le document complet

... [27] for critically decaying potentials (ρ = 2) under an assumption of Hardy inequality for the model operator and [26] in one-dimensional case when this Hardy condition is not ...satisfied. ... Voir le document complet

... equation for the leading profile u(t, z) is found to be a nonlinear Schr¨odinger equation with time-dependent quadratic potential, time-dependent effective mass ∇ 2 k E m (p(t)) and coupling constant λ m (t), see ... Voir le document complet

... frequency estimates are relatively recent, compared to the longer history of the high frequency regime, and some of them are not yet ...bound for the resolvent of the Laplace-Beltrami operator with ... Voir le document complet

... here for validating classical dynamics (7) from quantum dynamics (1) would be to work with deterministic initial data, but restrict them to those giving rise to suitable bounds, in mean, on the projection ... Voir le document complet

... [1] for non selfadjoint Schr¨ odinger operators with quickly decreasing potentials and [12] in the case k = ...condition for R(z) to admit an asymptotic expansion at z = 0 with the leading term of ... Voir le document complet

... proved for n + 1 = 3, but its proof easily extends to higher ...spaces for σ in a strip about the real axis as | Re σ| → ...bounds for R(σ) for Re(σ) large in the interior of X, then near the ... Voir le document complet

... (2.10). For any ǫ > 0 we set λ def = −P(ϕ + /2) + ǫ/2. For any 0 < h < h(ǫ), we then have kU(t)ψ w (x, hD)k L 2 →L 2 ≤ C h −n/2 exp(−λt) + O(h M 3 ) , uniformly in the time range 0 < t < M ... Voir le document complet

... (56) for radius of logarithmic size in λ [68] – see also ...First, for p ≤ p c , Blair and Sogge showed in a series of works how to control L p -norms by Kakeya-Nikodym norms – see [119, 19] and the ... Voir le document complet

... 3.1 Introduction Protein structure has an undeniable role in shaping the evolution of protein cod- ing sequences. Not only does the function of a protein depend primarily on the spatial arrangement of its atoms, but ... Voir le document complet

... The European Physical Journal Applied Physics Fig. 3. Sequence of BF images of gold wire taken during various stages of rupture caused by flexing the substrate using the in situ TEM holder. pole pieces. Secondly, ... Voir le document complet

... about semiclassical measures and the overall strategy of [8] relies more on direct estimates for solutions of one dimensional ...on semiclassical measures allows to prove an integrated remain- ... Voir le document complet

... We anticipate that the coating may be altered or damaged by the harsh conditions of the reacting flow. to reproduce typical experimental conditions, several cycles of heating load are conducted: the sample is heated to ... Voir le document complet

... measure on regular lagrangian tori is absolutely continuous, with respect to the Lebesgue measure on these tori. Theorem 4 was first established by Jaffard [16] in the case V = 0 using techniques based on the theory of ... Voir le document complet