On the radius of analyticity of solutions to the cubic Szego 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 POINCARE-ANALYSE NON LINEAIRE

author list (cited authors)

  • Gerard, P., Guo, Y., & Titi, E. S.

citation count

  • 14

complete list of authors

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

publication date

  • February 2015