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- W2950459758 abstract "This paper is concerned with the cubic Szegő equation $$ ipartial_t u=Pi(|u|^2 u), $$ defined on the $L^2$ Hardy space on the one-dimensional torus $mathbb T$, where $Pi: L^2(mathbb T)rightarrow L^2_+(mathbb T)$ is the Szegő projector onto the non-negative frequencies. For analytic initial data, it is shown that the solution remains spatial analytic for all time $tin (-infty,infty)$. In addition, we find a lower bound for the radius of analyticity of the solution. Our method involves energy-like estimates of the special Gevrey class of analytic functions based on the $ell^1$ norm of Fourier transforms (the Wiener algebra)." @default.
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- W2950459758 date "2013-03-25" @default.
- W2950459758 modified "2023-09-27" @default.
- W2950459758 title "On the Radius of Analyticity of Solutions to the Cubic Szego Equation" @default.
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