Sharp well-posedness results for the Kuramato-Velarde equation

DOI10.3934/CPAA.2008.7.867zbMath1159.35062OpenAlexW2053183256MaRDI QIDQ933149

Didier Pilod

Publication date: 21 July 2008

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2008.7.867

zbMATH Keywords

well-posednessKuramoto-Sivashinsky equationlimiting behaviorKuramoto-Velarde equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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The IVP for a nonlocal perturbation of the Benjamin-Ono equation in classical and weighted Sobolev spaces ⋮ Sharp well-posedness for the Chen-Lee equation ⋮ Well-posedness results and dissipative limit of high dimensional KdV-type equations ⋮ \(H^1\) solutions for a Kuramoto-Velarde type equation ⋮ A non-homogeneous boundary value problem for the Kuramoto-Sivashinsky equation posed in a finite interval ⋮ Sharp local well-posedness of KdV type equations with dissipative perturbations ⋮ On the Cauchy problem for higher-order nonlinear dispersive equations ⋮ The IVP for the evolution equation of wave fronts in chemical reactions in low-regularity Sobolev spaces ⋮ Well-posedness result for the Kuramoto-Velarde equation ⋮ Well-posedness of the generalized Burgers equation on a finite interval

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