Existence for Korteweg-de Vries-type equation with delay

DOI10.1186/1687-1847-2012-64zbMath1302.35343OpenAlexW2151469895WikidataQ59289570 ScholiaQ59289570MaRDI QIDQ2448030

Xiangkui Zhao, Erhua Rong, Zhihong Zhao

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-64

zbMATH Keywords

semigroupmild solutionsinitial-value problemevolution systemKorteweg-de Vries type equation with delay

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Partial functional-differential equations (35R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (1)

On the asymptotic stability of the Korteweg-de Vries equation with time-delayed internal feedback

Cites Work

• On the Korteweg-de Vries equation
• Solitary waves for Korteweg-de Vries equation with small delay
• Semigroups of linear operators and applications to partial differential equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• Introduction to functional differential equations
• Theory and applications of partial functional differential equations
• Solitary waves of the generalized KdV equation with distributed delays
• Method for Solving the Korteweg-deVries Equation
• Existence and Stability for Partial Functional Differential Equations
• The initial-value problem for the Korteweg-de Vries equation
• The Korteweg–deVries Equation: A Survey of Results
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
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