On the well-posedness and asymptotic behaviour of the generalized Korteweg–de Vries–Burgers equation

DOI10.1017/S0308210518000240zbMath1423.35339arXiv1509.08148OpenAlexW2888916478WikidataQ129270685 ScholiaQ129270685MaRDI QIDQ5382883

Fernando A. Gallego, Ademir Fernando Pazoto

Publication date: 19 June 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08148

zbMATH Keywords

stabilizationKdV-Burgers equationCarleman estimateunique continuation property

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

Exponential decay for the KdV equation on ℝ with new localized dampings ⋮ Controllability aspects of the Korteweg-de Vries Burgers equation on unbounded domains ⋮ A non-homogeneous boundary-value problem for the KdV-Burgers equation posed on a finite domain ⋮ Well-posedness of the initial value problem for the Ostrovsky-Hunter equation with spatially dependent flux

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