| dc.creator | Farah, LG | |
| dc.creator | Linares, F | |
| dc.creator | Pastor, A | |
| dc.date | 2011 | |
| dc.date | MAR | |
| dc.date | 2014-07-30T19:00:33Z | |
| dc.date | 2015-11-26T17:50:35Z | |
| dc.date | 2014-07-30T19:00:33Z | |
| dc.date | 2015-11-26T17:50:35Z | |
| dc.date.accessioned | 2018-03-29T00:33:48Z | |
| dc.date.available | 2018-03-29T00:33:48Z | |
| dc.identifier | Mathematical Research Letters. Int Press Boston, Inc, v. 18, n. 2, n. 357, n. 377, 2011. | |
| dc.identifier | 1073-2780 | |
| dc.identifier | WOS:000289375500013 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/72524 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/72524 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1289718 | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | We consider the generalized Korteweg-de Vries (gKdV) equation partial derivative(t)u + partial derivative(3)(x)u + mu partial derivative(x)(u(k+1)) = 0, where k >= 5 is an integer number and mu = +/- 1. In the focusing case (mu = 1), we show that if the initial data u(0) belongs to H-1(R) and satisfies E(u(0))M-sk(u(0))(1-sk) < E(Q)M-sk(Q)(1-sk), E(u(0)) >= 0, and parallel to partial derivative(x)u(0)parallel to(sk)(L2)parallel to u(0)parallel to(1-sk)(L2) < parallel to partial derivative(x)Q parallel to(sk)(L2)parallel to Q parallel to(1-sk)(L2), where M(u) and E(u) are the mass and energy, then the corresponding solution is global in H-1(R). Here, s(k) - (k-4)/2k and Q is the ground state solution corresponding to the gKdV equation. In the defocusing case (mu = -1), if k is even, we prove that the Cauchy problem is globally well-posed in the Sobolev spaces H-s(R), s > 4(k-1)/5k. | |
| dc.description | 18 | |
| dc.description | 2 | |
| dc.description | 357 | |
| dc.description | 377 | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG) | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.language | en | |
| dc.publisher | Int Press Boston, Inc | |
| dc.publisher | Somerville | |
| dc.publisher | EUA | |
| dc.relation | Mathematical Research Letters | |
| dc.relation | Math. Res. Lett. | |
| dc.rights | fechado | |
| dc.source | Web of Science | |
| dc.subject | Nonlinear Schrodinger-equation | |
| dc.subject | Blow-up Solutions | |
| dc.subject | Ill-posedness | |
| dc.subject | Dispersive Equations | |
| dc.subject | Korteweg-devries | |
| dc.subject | Rough Solutions | |
| dc.subject | Scattering | |
| dc.subject | Regularity | |
| dc.subject | Existence | |
| dc.title | THE SUPERCRITICAL GENERALIZED KDV EQUATION: GLOBAL WELL-POSEDNESS IN THE ENERGY SPACE AND BELOW | |
| dc.type | Artículos de revistas | |
