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20062026
most citedA KAM theorem with applications to partial equations of higher dimension

26 citations · 85 across the 32 of their papers we have counts for

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math.DS2016

Quasi-periodic solutions for perturbed generalized nonlinear vibrating string equation with singularities

Chengming Cao, Xiaoping Yuan

{\bf Abstract}: The existence of 2-dimensional KAM tori is proved for the perturbed generalized nonlinear vibrating string equation with singularities $u_{tt}=((1-x^2)u_x)_x-mu-u^3…