In this paper, we investigate a generalized nonlinear quasi-hemivariational inequality (QHI)
involving a multivalued map in a Banach space. Under general assumptions, by using a …

This paper investigates the inverse problem of estimating a discontinuous parameter in a
quasi-variational inequality involving multi-valued terms. We prove that a well-defined …

This paper is devoted to studying an inverse problem of parameter identification in a
nonlinear quasi-hemivariational inequality posed in a Banach space. We employ the Kluge's …

We propose a new variational framework to remove a mixture of Gaussian and impulse
noise from images. This framework is based on a non-convex PDE-constrained with a …

With the invention of the COVID-19 vaccine, shipping and distributing are crucial in
controlling the pandemic. In this paper, we build a mean-field variational problem in a spatial …

In the present work, we investigate the inverse problem of identifying simultaneously the
denoised image and the weighting parameter that controls the balance between two …

We propose a numerical inverse method based on physics-informed neural networks (PINN)
for calculating composition-dependent diffusion coefficients in pseudo-binary (PB) diffusion …

This work is devoted to the mathematical analysis of an inverse source problem governed by
a time-fractional diffusion equation. The aims of this paper are to identify the source function …

This paper introduces a novel optimization procedure to reduce a mixture of Gaussian and
impulse noise from images. This framework is based on a non-convex PDE-constrained with …

This paper treats the inverse denoising problem which aims to compute simultaneously the
clean image and the weighting parameter λ. The formulated denoising problem is posed …