Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations

Details Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations

2001-12-07

arxiv.org/abs/math/0112071v1

Mathematics

Analysis of PDEs

Scientific paper

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

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