Solvability issues for some noncoercive and nonmonotone parabolic equations arising in the image denoising problems

P Kogut, Y Kohut, N Parfinovych - Journal of Optimization …, 2022 - model-dnu.dp.ua
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 …

Qualitative Analysis of an Optimal Sparse Control Problem for Quasi-Linear Parabolic Equation with Variable Order of Nonlinearity

C D'Apice, P Kogut, R Manzo - Journal of Optimization, Differential …, 2023 - model-dnu.dp.ua
In this work, we study a sparse optimal control problem involving a quasilinear parabolic
equation with variable order of nonlinearity as a state equation and with a pointwise control …

Optimal Sparse Control Formulation for Reconstruction of Noise-Affected Images

P Kogut, Y Kohut - Axioms, 2023 - mdpi.com
We discuss the optimal control formulation for enhancement and denoising of satellite
multiband images and propose to take it in the form of an L 1 control problem for a quasi …

Initial-boundary value problem for higher-orders nonlinear elliptic-parabolic equations with variable exponents of the nonlinearity in unbounded domains without …

MM Bokalo, OV Domanska - Matematychni Studii, 2023 - matstud.org.ua
Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated
parabolic) equations in unbounded domains with respect to the spatial variables were …

[PDF][PDF] Nonlocal hyperbolic Stokes system with variable exponent of nonlinearity

OM Buhrii, OT Kholyavka, TM Bokalo - Matematychni Studii, 2023 - matstud.org.ua
OM Buhrii, OT Kholyavka, TM Bokalo NONLOCAL HYPERBOLIC STOKES SYSTEM WITH
VARIABLE EXPONENT OF NONLINEARITY Introductio Page 1 Математичнi Студiї. Т.60, №2 …

HIGHER-ORDERS ELLIPTIC-PARABOLIC EQUATIONS WITH VARIABLE EXPONENTS OF THE NONLINEARITY IN UNBOUNDED DOMAINS WITHOUT …

MM Bokalo, OV Domanska - Matematychni Studii, 2023 - search.ebscohost.com
Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated
parabolic) equations in unbounded domains with respect to the spatial variables were …

МІШАНА ЗАДАЧА ДЛЯ НЕЛІНІЙНИХ ПАРАБОЛІЧНИХ РІВНЯНЬ ВИЩИХ ПОРЯДКІВ ЗІ ЗМІННИМИ ПОКАЗНИКАМИ НЕЛІНІЙНОСТІ В НЕОБМЕЖЕНИХ …

MM Bokalo - Буковинський математичний журнал, 2022 - bmj.fmi.org.ua
Анотація У даній роботі доведено однозначну розв'язність мішаної задачі для деяких
анізотропних параболічних рівнянь вищих порядків зі змінними показниками …