308 citations
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Showing 2010 · math.APShow all
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math.AP2010
Well-posedness of a Class of Non-homogeneous Boundary Value Problems of the Korteweg-de Vries Equation on a Finite Domain
Eugene Kramer, Ivonne Rivas, Bing-Yu Zhang
In this paper, we study a class of initial-boundary value problems for the Korteweg-de Vries equation posed on a bounded domain . We show that the initial-boundary value pro…
math.AP2010
Local and global well-posedness for the 2D generalized Zakharov-Kuznetsov equation
Felipe Linares, Ademir Pastor
This paper addresses well-posedness issues for the initial value problem (IVP) associated with the generalized Zakharov-Kuznetsov equation, namely, \{equation*} \quad \left\{\{arra…