On the radius of spatial analyticity for the quartic generalized KdV equation

Abstract

Lower bound on the rate of decrease in time of the uniform radius of spatial analyticity of solutions to the quartic generalized KdV equation is derived, which improves an earlier result by Bona, Grujić and Kalisch.

11 pages. arXiv admin note: substantial text overlap with arXiv:1706.04659

References in corpus (1)

• A remark on global well-posedness below L^2 for the gKdV-3 equation

Cited by in corpus (3)

• On propagation of regularities and evolution of radius of analyticity in the solution of the fifth order KdV-BBM model
• New lower bounds on the radius of spatial analyticity for the KdV equation
• Lower bounds on the radius of spatial analyticity for the Kawahara equation