On the radius of analyticity of solutions to the cubic Szego equation Academic Article

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).

authors

• Titi, Edriss

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

• Gérard, Patrick||Guo, Yanqiu||Titi, Edriss S

publication date

• February 2015

publisher

• European Mathematical Society - EMS - Publishing House GmbH  Publisher

published in

• Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire  Journal

keywords

• Analytic Solutions
• Cubic Szego Equation
• Gevrey Class Regularity
• Hankel Operators

Digital Object Identifier (DOI)

• 10.1016/j.anihpc.2013.11.001

start page

• 97

end page

• 108

volume

• 32

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.anihpc.2013.11.001