David Damanik

activity

20122025

most citedAlmost Periodicity in Time of Solutions of the KdV Equation

35 citations · 57 across the 5 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

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.SP2015★ 9 cited

Homogeneity of the spectrum for quasi-periodic Schrödinger operators

Michael Goldstein, David Damanik, Wilhelm Schlag +1

We consider the one-dimensional discrete Schrödinger operator $[H (x, ω) φ] (n) \equiv - φ (n - 1) - φ (n + 1) + V (x + nω) φ (n),$ $n \in Z$ , $x, ω \in [0, 1]$ with real-ana…