Michael Goldstein

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20002022

most citedAlmost Periodicity in Time of Solutions of the KdV Equation

35 citations · 68 across the 13 of their papers we have counts for

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math.AP2015★ 35 cited

Almost Periodicity in Time of Solutions of the KdV Equation

Ilia Binder, David Damanik, Michael Goldstein +1

We study the Cauchy problem for the KdV equation $\partial_{t} u - 6 u \partial_{x} u + \partial_{x}^{3} u = 0$ with almost periodic initial data $u (x, 0) = V (x)$ . We consider initial data $V…

math.AP2012

On the Existence and Uniqueness of Global Solutions for the KdV Equation with Quasi-Periodic Initial Data

David Damanik, Michael Goldstein

We consider the KdV equation $\partial_{t} u + \partial_{x}^{3} u + u \partial_{x} u = 0$ with quasi-periodic initial data whose Fourier coefficients decay exponentially and prove existence…