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math.AP2007★ 1 cited
Asymptotic stability of lattice solitons in the energy space
Tetsu Mizumachi
Orbital and asymptotic stability for 1-soliton solutions to the Toda lattice equations as well as small solitary waves to the FPU lattice equations are established in the energy sp…
math.AP2006★ 17 cited
Asymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potential
Tetsu Mizumachi
We consider asymptotic stability of a small solitary wave to supercritical 2-dimensional nonlinear Schrödinger equations $$ iu_t+Δu=Vu\pm |u|^{p-1}u \quad\text{for $(x,t)\in\mathbb…