Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation

Abstract

In this paper, the authors consider the Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries (KdV for short) equation. By estimating the resolvent of the corresponding linear operator, the authors conclude that the semigroup generated by the linear operator is not analytic but of Gevrey class δ ∈ (3/2, ∞) for t > 0.

Keywords

Korteweg-de Vries equation / Resolvent estimation / Analytic semigroup / Gevrey class

References

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