Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 408
Parabolic systems driven by general differential operators with variable exponents and degenerate nonlinearities: Application to image restoration
Ahmed Nokrane, Noureddine Alaa, Fatima Aqel
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2344
April 15, 2344

Abstract: Partial differential equations are a precise, elegant, rich, and captivating subject, which is quite old, and its history is broad and deep. They gained considerable attention not only for the linear case but also, they are involving nonlinear terms. During the last decade, theoretical studies of partial differential equations have given birth of a new type of problems called ’variable exponent’, which means that the equation and their operator has a variable growth condition. The present communication is devoted to the study of existence and uniqueness of weak solution to the ...