Asymptotic property for the solution to the generalized Korteweg-de Vries equation

DOI10.1007/BF02016328zbMath0822.35123OpenAlexW2039889294MaRDI QIDQ1891424

Linghai Zhang

Publication date: 9 October 1995

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02016328

zbMATH Keywords

Fourier transform\(L^ 2\) integral estimatesnonlinear dissipative dispersive wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• Decay of solution to parabolic conservation laws
• The initial-value problem for the Korteweg-de Vries equation
• Decay of solutions of a higher order multidimensional nonlinear Korteweg–de Vries–Burgers system
• Decay of solutions of the multidimensional generalized Kuramoto-Sivashinsky system
• Nonlinear Theory of Ion Acoustic Waves with Landau Damping
• The partial differential equation u_t + uu_x = μ_xx

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