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2025年4期
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Well-Posedness of 5th-Order KdV Equation Posed on a Finite Domain with Nonlinear Boundary Values
Well-Posedness of 5th-Order KdV Equation Posed on a Finite Domain with Nonlinear Boundary Values
摘要
In this article,we investigate the well-posedness of the initial-boundary value problem(I-B-V problem)for the fifth-order KdV equation posed on a finite do-main with nonlinear boundary conditions.Firstly,we establish various a priori es-timates,including Kato smoothing effects,sharp trace regularity,and nonlinear esti-mates.Subsequently,we demonstrate that the initial-boundary value problem of the fifth-order KdV equation with quadratic boundary feedbacks is locally well-posed for the appropriately chosen initial value and boundary values.
年，卷(期)：
2025, 38(4)
分类号：
O175.27
机标分类号：
TP391.9
O189.1
H0-05
在线出版日期：
2026年4月13日
