On the radius of analyticity of solutions to the cubic Szeg equation Academic Article uri icon

abstract

  • 2013 Elsevier Masson SAS. This paper is concerned with the cubic Szego equationi {equation presented}, defined on the L2 Hardy space on the one-dimensional torus T, where : L2(T)L2+(T) is the Szego projector onto the non-negative frequencies. For analytic initial data, it is shown that the solution remains spatial analytic for all time t (-infin;,). 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 l1 norm of Fourier transforms (the Wiener algebra).

published proceedings

  • Annales de l'Institut Henri Poincar C, Analyse non linaire

author list (cited authors)

  • Grard, P., Guo, Y., & Titi, E. S.

citation count

  • 12

complete list of authors

  • GĂ©rard, Patrick||Guo, Yanqiu||Titi, Edriss S

publication date

  • February 2015