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arXiv · 1806.08803

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

Jackson Luchesi·Nikolai A. Larkin
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Abstract

A boundary value problem for a stationary nonlinear dispersive equation of order $2l+1\;\; l\in \mathbb{N}$ with a convective term in the form $u^ku_x\;\; k\in \mathbb{N}$ 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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Jackson Luchesi, Nikolai A. Larkin. 2018-06-22. Higher-order stationary dispersive equations on bounded intervals: a relation between the order of an equation and the growth of its convective term. https://arxiv.org/abs/1806.08803

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