Dear Colleagues,

This Special Issue, “Dispersive Equations of High Order”, will be open for the publication of high-quality mathematical papers in the area of linear and quasilinear evolution dispersive equations.

The focus will be on the initial and initial-boundary value problems and for them on the topics of local and global well-posedness, qualitative properties of solutions such as regularity and large time decay, the stability of solitons and other special solutions, and control problems. The class of considered equations will mainly consist of high-order dispersive equations such as Korteweg–de Vries, Kawahara, Zakharov–Kuznetsov, Kadomtsev–Petviashvili, and nonlinear Schrӧdinger equations, but will not be restricted to these.

Dispersive equations play an important role in modern mathematical physics. They describe wave processes in liquids and plasma, and are used in optics and electrodynamics. However, in comparison with classical equation types such as elliptic, parabolic, and hyperbolic, there is a lack of issues devoted only to dispersive equations.

Papers involving all the above-mentioned topics are welcome. This Special Issue gives an opportunity to researchers in the field of dispersive equations to demonstrate the current situation in this theory.

Prof. Dr. Andrei Faminskii
Guest Editor

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• dispersive equations
• initial-boundary value problems
• local and global well-posedness
• regularity of solutions
• large-time stabilization