35 citations · 68 across the 13 of their papers we have counts for
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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 with quasi-periodic initial data whose Fourier coefficients decay exponentially and prove existence…
math.SP2012
On the Inverse Spectral Problem for the Quasi-Periodic Schrödinger Equation
David Damanik, Michael Goldstein
We study the quasi-periodic Schrödinger equation $$ -ψ"(x) + V(x) ψ(x) = E ψ(x), \qquad x \in \IR $$ in the regime of "small" . Let , $m \in \zv$, be the standard l…