Higher-order stationary dispersive equations on bounded intervals: a relation between the order of an equation and the growth of its convective term

2018/06/22 by Luchesi, Jackson, Larkin, Nikolai A.
#34B30 #34B60 #34L30 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.08803

Abstract

A boundary value problem for a stationary nonlinear dispersive equation of order 2l+1 l∈ ℕ with a convective term in the form u^ku_x k∈ ℕ was considered on an interval (0,L). The existence, uniqueness and continuous dependence of a regular solution as well as a relation between l and critical values of k have been established.

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