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arXiv · 1812.04146

Generalized dispersive equations of higher orders posed on bounded intervals: local theory

Jackson Luchesi·Nikolai A. Larkin
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Abstract

Initial-boundary value problems for nonlinear dispersive equations of evolution of order $2l+1,\;l\in\mathbb{N}$ with a convective term of the form $u^ku_x,\;k\in\mathbb{N}$ have been considered on intervals $(0,L),\;L\in (0,+\infty)$. The existence and uniqueness of local regular solutions have been established.

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Jackson Luchesi, Nikolai A. Larkin. 2018-12-10. Generalized dispersive equations of higher orders posed on bounded intervals: local theory. https://arxiv.org/abs/1812.04146

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