Sharp local well-posedness of KdV type equations with dissipative perturbations

DOI10.1090/qam/1437zbMath1239.35137arXiv1304.6640OpenAlexW2963883442MaRDI QIDQ5390145

Mahendra Panthee, Xavier Carvajal

Publication date: 27 April 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6640

zbMATH Keywords

well-posednessinitial value problemKdV equationBourgain spacesdispersive-dissipative models

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

The IVP for a nonlocal perturbation of the Benjamin-Ono equation in classical and weighted Sobolev spaces ⋮ Sharp well-posedness and ill-posedness results for dissipative KdV equations on the real line ⋮ The coupled Kuramoto-Sivashinsky-KdV equations for surface wave in multilayered liquid films ⋮ Well-posedness results and dissipative limit of high dimensional KdV-type equations ⋮ On the well-posedness of higher order viscous Burgers' equations ⋮ Sharp local well-posedness of KdV type equations with dissipative perturbations ⋮ The IVP for the evolution equation of wave fronts in chemical reactions in low-regularity Sobolev spaces ⋮ Well-posedness for a perturbation of the KdV equation

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