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math.DS2018
On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables
Guan Huang, Vadim Kaloshin
In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table preserving the integrability near the boundary have to be tan…
math.DS2013★ 1 cited
An Averaging Theorem for Perturbed KdV Equation
Guan Huang
We consider a perturbed KdV equation: [\dot{u}+u_{xxx} - 6uu_x = εf(x,u(\cdot)), \quad x\in \mathbb{T}, \quad\int_\mathbb{T} u dx=0.] For any periodic function , let $I(u)=(I…