Results 331 to 340 of about 4,824,817 (357)

A Two-Step Inverse-Scattering Technique in Variable-Exponent Lebesgue Spaces for Through-the-Wall Microwave Imaging: Experimental Results

IEEE Transactions on Geoscience and Remote Sensing, 2021
A novel two-step inverse-scattering technique is proposed for through-the-wall microwave imaging. The approach is based on a regularization scheme developed in the framework of variable-exponent Lebesgue spaces, which enhances the quality of the ...
A. Randazzo, C. Ponti, A. Fedeli, C. Estatico, P. D’Atanasio, M. Pastorino, G. Schettini   +6 more
semanticscholar   +1 more source

Variable-Exponent Lebesgue-Space Inversion for Brain Stroke Microwave Imaging

IEEE transactions on microwave theory and techniques, 2020
This article describes a microwave tomographic approach for the quantitative imaging of brain stroke inside the human head. For the acquisition of the scattered-field information, a prototype of multistatic system is adopted.
I. Bisio, C. Estatico, A. Fedeli, F. Lavagetto, M. Pastorino, A. Randazzo, A. Sciarrone   +6 more
semanticscholar   +1 more source

Multilinear Hausdorff operator on variable exponent Morrey–Herz type spaces

Integral transforms and special functions, 2020
The aim of this paper is to give necessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some weighted function spaces with variable exponent such as the weighted Herz and ...
N. Chuong, D. Duong, K. Dung
semanticscholar   +1 more source

Compact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p (·)-Laplacian

Complex Variables and Elliptic Equations, 2020
In this study, we define double weighted variable exponent Sobolev spaces with respect to two different weight functions. Also, we investigate the basic properties of this spaces.
C. Unal, I. Aydın
semanticscholar   +1 more source

On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications

Fractional Calculus and Applied Analysis
We obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the existence of and find infinitely many nontrivial solutions for a class of ...
Nabil Chems Eddine, M. Ragusa, D. D. Repovš   +2 more
semanticscholar   +1 more source

On the decay of solutions of a damped quasilinear wave equation with variable‐exponent nonlinearities

Mathematical methods in the applied sciences, 2020
In this work, we consider the following nonlinear wave equation with variable exponents: utt−div(|∇u|r(.)−2∇u)−Δut+|ut|m(.)−2ut=0,inΩ×(0,T), where Ω is a bounded domain, T>0 , and m(.) and r(.) are continuous functions.
S. Messaoudi
semanticscholar   +1 more source

Variable Exponent, Linear Growth Functionals in Image Restoration

SIAM Journal on Applied Mathematics, 2006
We study a functional with variable exponent, $1\leq p(x)\leq 2$, which provides a model for image denoising, enhancement, and restoration. The diffusion resulting from the proposed model is a combination of total variation (TV)-based regularization and ...
Yunmei Chen, Stacey Levine, M. Rao
semanticscholar   +1 more source

Variable exponent Campanato spaces

Journal of Mathematical Sciences, 2010
We study variable exponent Campanato spaces on spaces of homogeneous type. We prove an embedding result between variable exponent Campanato spaces. We also prove that these spaces are equivalent, up to norms, to variable exponent Morrey spaces L p(·),λ(·) (X) with λ+ < 1 and variable exponent ...
Humberto Rafeiro, Stefan Samko
openaire   +2 more sources

Variable exponent Bergman spaces

Nonlinear Analysis: Theory, Methods & Applications, 2014
Abstract In this article we define variable exponent Bergman spaces and show that polynomials are dense in the spaces. We also show that the Bergman projection and the Berezin transform are bounded in these spaces.
Gerardo R. Chacón, Humberto Rafeiro, Humberto Rafeiro   +2 more
openaire   +2 more sources

Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities

Applicable Analysis, 2018
In this paper, we consider a nonlinear wave equation with damping and source terms of variable-exponent types. First, we use the stable-set method to prove a global result. Then, by applying an integral inequality due to Komornik, we obtain the stability
Samah Ghegal, I. Hamchi, S. Messaoudi
semanticscholar   +1 more source