@article{Coclite2026, 
author = {Giuseppe Maria Coclite and Lorenzo di Ruvo},
title = {On the initial-boundary value problem for a Kuramoto-Velarde equation},
year = {2026},
journal = {Networks and Heterogeneous Media},
volume = {21},
number = {1},
pages = {92-146},
keywords = {existence, uniqueness, stability, Kuramoto-Velarde equation, initial-boundary value problem},
url = {https://www.sciopen.com/article/10.3934/nhm.2026005},
doi = {10.3934/nhm.2026005},
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.}
}