On solutions to evolution equations defined by lattice operators
Takatoshi Ikegami, Daisuke A. Takahashi, Junta Matsukidaira · Japan Journal of Industrial and Applied Mathematics · 2013
We discuss a specific form of evolution equations defined by lattice operators. We give exact solutions for a class of those equations and evaluate the complexity of the solutions. Moreover we discuss the relationship between them and binary cellular automata, and analyze their asymptotic behavior utilizing the explicit expression of the solution.