Well-posedness for a fourth order nonlinear equation related to image processing

Lihua Min (1) , Xiaoping Yang (2) , Dong Ye (3)

1 NJUPT - Nanjing University of Posts and Telecommunications [Nanjing]
2 NJUST - Nanjing University of Science and Technology
3 IECL - Institut Élie Cartan de Lorraine

Using the entropy estimates in [14], we establish the global existence and uniqueness of solutions to a fourth order equation related to image processing. Some numerical results on the Lena image are also presented to show the effectiveness of the equation for noise removal.

Mots clés: global existence and uniqueness; fourth order parabolic equation; numerical simulation; entropy esti-mates

Domaines: Equations aux dérivées partielles [math.AP]

Lihua Min, Xiaoping Yang, Dong Ye. Well-posedness for a fourth order nonlinear equation related to image processing. Nonlinear Analysis: Real World Applications, 2014, 17, pp.192 - 202. ⟨10.1016/j.nonrwa.2013.11.005⟩. ⟨hal-01095027⟩