Well-posedness of Korteweg-de Vries-Burgers equation on a finite domain

Jie Li () and Kangsheng Liu ()
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Jie Li: Zhejiang University
Kangsheng Liu: Zhejiang University

Indian Journal of Pure and Applied Mathematics, 2017, vol. 48, issue 1, 91-116

Abstract: Abstract In this paper,we consider the Korteweg-de Vries-Burgers equation on a finite domain with initial value and nonhomogeneous boundary conditions. This particular problem arises in the theory of ferroelectricity. We first get the local well-posedness of the problem, and then under the help of the local result, we use nonlinear interpolation to have the global well-posedness of the problem.

Keywords: Well-posedness; Korteweg-de Vries-Burgers equation; nonhomogeneous boundary; semigroup; nonlinear interpolation (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13226-016-0210-7

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