Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations
| dc.creator | Martel, Yvan | |
| dc.creator | Merle, Frank | |
| dc.creator | Tsai, Tai-Peng | |
| dc.date | 2001-12-07 | |
| dc.date.accessioned | 2026-07-07T04:45:05Z | |
| dc.date.available | 2026-07-07T04:45:05Z | |
| dc.description | We prove in this paper the stability and asymptotic stability in H^1 of a decoupled sum of N solitons for the subcritical generalized KdV equations $u_t+(u_{xx}+u^p)_x=0$ (1<p<5). The proof of the stability result is based on energy arguments and monotonicity of local L^2 norm. Note that the result is new even for p=2 (the KdV equation). The asymptotic stability result then follows directly from a rigidity theorem in [15]. | |
| dc.identifier | https://arxiv.org/abs/math/0112071 | |
| dc.identifier | http://arxiv.org/abs/math/0112071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62840 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations | |
| dc.type | text |