89 citations · 190 across the 20 of their papers we have counts for
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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.AP2007★ 89 cited
On asymptotic stability in energy space of ground states for Nonlinear Schrödinger equations
Scipio Cuccagna, Tetsu Mizumachi
We consider nonlinear Schrödinger equations in dimension 3 or higher. We prove that symmetric finite energy solutions close to orbitally stable ground states converge asymptoticall…