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math.AP2024
Dispersive blow-up for the fifth order Korteweg-de Vries equation on the line
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
In this work we establish a dispersive blow-up result for the initial value problem (IVP) for the fifth order Korteweg-de Vries equation \begin{align*} \left. \begin{array}{rlr} u_…
math.AP2024
Local well-posedness and regularity properties for an initial-boundary value problem associated to the fifth order Korteweg-de Vries equation
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
In this work we prove that the initial-boundary value problem (IBVP) for the fifth order Korteweg-de Vries equation \begin{align*} \left. \begin{array}{rlr} u_t+\partial_x^5 u+u\pa…