Initial-boundary value problem of fifth-order Korteweg-de Vries equation posed on half line with nonlinear boundary values-Reference-Cited by-同舟云学术

Initial-boundary value problem of fifth-order Korteweg-de Vries equation posed on half line with nonlinear boundary values

Published:2022-01-01 Issue:1 Volume:20 Page:529-543
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Zhao Xiangqing¹,Wang Chengqiang¹,Bao Jifeng²

Affiliation:

1. Department of Mathematics, Suqian University, Suqian , Jiangsu 223800 , P. R. China

2. Department of Mathematics, Zhejiang Ocean University, Zhoushan , Zhejiang 316022 , P. R. China

Abstract

Abstract In this paper, we study the initial boundary problem of fifth-order Korteweg-de Vries equation with nonlinear boundary values. First, we establish a so-called sharp boundary trace regularity associated with the linearized fifth-order Korteweg-de Vries equation. Then, aided by the sharp boundary trace regularity, we verify that initial-boundary value problem of fifth-order Korteweg-de Vries equation with nonlinear boundary conditions is locally well-posed when initial and boundary values are properly chosen.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0040/pdf

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