we want to know does it exist an example application of partial differential equation with variable exponents in image processing ?
Voila une reference qui traite ce type de questions:
Z. Guo, Q. Liu, J. Sun, B. Wu, Reaction–diffusion systems with p(x)-growth for image denoising, Nonlinear Anal. RWA
12 (2011) 2904–2918.
Tu peux aussi voir ce papier: F. Karami, K. Sadik and L. Ziad. A variable exponent nonlocal p ( x ) -Laplacian equation for image restoration. Computers & Mathematics with Applications 75(2). 2017
Have a look at this reference:
Y. Chen, S. Levine and M. Rao, Variable exponent, linear growth func-
tionals in image restoration, SIAM J. Appl. Math. 66, (2006), 1383-1406
I found on net an answer associated with previous answers, see this link: http://pcfm-ma.iecl.univ-lorraine.fr/communications/Sadik.pdf
best regards
Hellal Abdelaziz
M'sila, Algeria University
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