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Korteweg-de Vries-Burgers Equation on a Segment
2010
Cubo (Temuco)
We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation on the interval (0, 1) We prove that if the initial data u0 ∈ L 2 , then there exists a unique solution u ∈ C [0, ∞) ; L 2 ∪ C (0, ∞) ; H 1 of the initial-boundary value problem (0.1). We also obtain the large time asymptotic of solution uniformly with respect to x ∈ (0, 1) as t → ∞. E.I. Kaikina et. al. CUBO 12, 1 (2010) RESUMEN Estudiamos el siguiente problema de valor inicial en la frontera para
doi:10.4067/s0719-06462010000100005
fatcat:ryybwsfuwbffvfjoj7vu7tt25e