Solvability Issues for Some Noncoercive and Nonmonotone Parabolic Equations Arising in the Image Denoising Problems

This paper is devoted to the solvability of an initial-boundary value problem for second-order parabolic equations in divergence form with variable order of nonlinearity. The characteristic feature of the considered class of Cauchy-Neumann parabolic problem is the fact that the variable exponent p(t...

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Bibliographic Details
Main Authors: Peter Kogut, Yaroslav Kohut, Nataliia Parfinovych
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2022-09-01
Series:Journal of Optimization, Differential Equations and Their Applications
Subjects:
Online Access:https://model-dnu.dp.ua/index.php/SM/article/view/172