On the initial-boundary value problem for a Kuramoto-Velarde equation

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Abstract

The Kuramoto-Velarde equation describes the spatio-temporal evolution of step morphology on crystal surfaces, as well as the dynamics of spinodal decomposition in phase-separating systems subjected to an external field. In this paper, we prove the well-posedness of the solutions for the initial-boundary value problem for this equation, under several possible boundary conditions.

Keywords

existence / uniqueness / stability / Kuramoto-Velarde equation / initial-boundary value problem

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