| dc.creator | Cardoso, F. | |
| dc.creator | Vodev, G. | |
| dc.date | 2008-07-01 | |
| dc.date.accessioned | 2019-05-03T12:36:41Z | |
| dc.date.available | 2019-05-03T12:36:41Z | |
| dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1512 | |
| dc.identifier.uri | http://revistaschilenas.uchile.cl/handle/2250/84243 | |
| dc.description | We expand the operators and , 0 < h ≪ 1, modulo operators whose L1 → L∞ norm is ON(hN), ∀ N ≥ 1, where 𝜑, 𝜓 ∈ and V ∈ L∞(𝓡𝓃), 𝓃 ≥ 4, is a real-valued potential satisfying V(x) = O (⟨x⟩-𝛿), 𝛿 > (𝓃 + 1)/2 in the case of the wave equation and 𝛿 > (𝓃 + 2)/2 in the case of the Schr¨odinger equation. As a consequence, we give sufficent conditions in order that the wave and the Schr¨odinger groups satisfy dispersive estimates with a loss of ν derivatives, 0 ≤ ν ≤ (𝓃 − 3)/2. Roughly speaking, we reduce this problem to estimating the L1 → L∞ norms of a finite number of operators with almost explicit kernels. These kernels are completely explicit when 4 ≤ 𝓃 ≤ 7 in the case of the wave group, and when 𝓃 = 4, 5 in the case of the Schr¨odinger group. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1512/1366 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 10 Núm. 2 (2008): CUBO, A Mathematical Journal; 01–14 | es-ES |
| dc.source | CUBO, A Mathematical Journal; Vol 10 No 2 (2008): CUBO, A Mathematical Journal; 01–14 | en-US |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.title | Semi-Classical Dispersive Estimates for the Wave and Schr¨odinger Equations with a Potential in Dimensions 𝓃 ≥ 4 | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
