| dc.creator | Milanes, A | |
| dc.date | 2003 | |
| dc.date | JUN | |
| dc.date | 2014-07-30T18:43:24Z | |
| dc.date | 2015-11-26T17:49:32Z | |
| dc.date | 2014-07-30T18:43:24Z | |
| dc.date | 2015-11-26T17:49:32Z | |
| dc.date.accessioned | 2018-03-29T00:32:37Z | |
| dc.date.available | 2018-03-29T00:32:37Z | |
| dc.identifier | Communications On Pure And Applied Analysis. Amer Inst Mathematical Sciences, v. 2, n. 2, n. 233, n. 250, 2003. | |
| dc.identifier | 1534-0392 | |
| dc.identifier | WOS:000182980800007 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/71927 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/71927 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1289412 | |
| dc.description | For the bidimensional version of the generalized Benjamin-Ono equation: u(t) - H-(x) u(xy) + u(p)u(y) = 0, t is an element of R, (x, y) is an element of R-2, we use the method of parabolic regularization to prove local well-posedness in the spaces H-s (R-2), s > 2 and in the weighted spaces F-r(s) = H-s (R-2) boolean AND L-2 ((1 + x(2) + y(2))(r) dxdy), s > 2, r is an element of [0, 1] and F-1,k(k) = H-k (R-2) boolean AND L-2 ((1 + x(2) + y(2k))dxdy), k is an element of N, k greater than or equal to 3. As in the case of BO there is lack of persistence for both the linear and nonlinear equations (for p odd) in F-2(s). That leads to unique continuation principles in a natural way. By standard methods based on L-p - L-q estimates of the associated group we obtain global well-posedness for small initial data and nonlinear scattering for p greater than or equal to 3, s > 3. Nonexistence of square integrable solitary waves of the form u(x, y, t) = v(x, y - ct), c > 0, p is an element of {1, 2} is obtained using the results about existence of solitary waves of the BO and variational methods. | |
| dc.description | 2 | |
| dc.description | 2 | |
| dc.description | 233 | |
| dc.description | 250 | |
| dc.language | en | |
| dc.publisher | Amer Inst Mathematical Sciences | |
| dc.publisher | Springfield | |
| dc.publisher | EUA | |
| dc.relation | Communications On Pure And Applied Analysis | |
| dc.relation | Commun. Pure Appl. Anal | |
| dc.rights | aberto | |
| dc.source | Web of Science | |
| dc.subject | Benjamin-Ono equation | |
| dc.subject | nonlinear dispersive equations | |
| dc.subject | well-posedness | |
| dc.subject | unique continuation principles | |
| dc.subject | nonlinear scattering | |
| dc.subject | solitary waves | |
| dc.subject | Benjamin-ono-equation | |
| dc.subject | Korteweg-devries Equation | |
| dc.subject | Weighted Sobolev Spaces | |
| dc.subject | Internal Waves | |
| dc.subject | Solitary Waves | |
| dc.subject | Scattering | |
| dc.subject | Existence | |
| dc.subject | Uniqueness | |
| dc.subject | Models | |
| dc.subject | Fluids | |
| dc.title | Some results about a bidimensional version of the generalized BO | |
| dc.type | Artículos de revistas | |
