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

Autor: Zhao Xiangqing, Wang Chengqiang, Bao Jifeng
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Open Mathematics, Vol 20, Iss 1, Pp 529-543 (2022)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2022-0040
Popis: 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.
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