Our aim in this paper is to study the existence and uniqueness of solutions to a Cahn‐Hilliard type model proposed for image segmentation. We also prove the existence of unbounded (as time goes to infinity) solutions and give numerical simulations which illustrate our theoretical results.

中文翻译：

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在用于图像分割的Cahn-Hilliard模型上

本文的目的是研究提出的用于图像分割的Cahn-Hilliard类型模型解决方案的存在性和唯一性。我们还证明了无界（随着时间到无穷大）解的存在，并提供了数值模拟来说明我们的理论结果。