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On a Cahn‐Hilliard model for image segmentation

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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… Click to show full abstract

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.

Keywords: hilliard model; cahn hilliard; image segmentation

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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