Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (2)

Search Parameters:
Keywords = global Morrey space

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
20 pages, 356 KiB  
Article
Pre-Compactness of Sets and Compactness of Commutators for Riesz Potential in Global Morrey-Type Spaces
by Nurzhan Bokayev, Victor Burenkov, Dauren Matin and Aidos Adilkhanov
Mathematics 2024, 12(22), 3533; https://doi.org/10.3390/math12223533 - 12 Nov 2024
Cited by 2 | Viewed by 1264
Abstract
In this paper, we establish sufficient conditions for the pre-compactness of sets in the global Morrey-type spaces GMpθw(·). Our main result is the compactness of the commutators of the Riesz potential b,Iα [...] Read more.
In this paper, we establish sufficient conditions for the pre-compactness of sets in the global Morrey-type spaces GMpθw(·). Our main result is the compactness of the commutators of the Riesz potential b,Iα in global Morrey-type spaces from GMp1θ1w1(·) to GMp2θ2w2(·). We also present new sufficient conditions for the commutator b,Iα to be bounded from GMp1θ1w1(·) to GMp2θ2w2(·). In the proof of the theorem regarding the compactness of the commutator for the Riesz potential, we primarily utilize the boundedness condition for the commutator for the Riesz potential b,Iα in global Morrey-type spaces GMpθw(·), and the sufficient conditions derived from the theorem on pre-compactness of sets in global Morrey-type spaces GMpθw(·). Full article
(This article belongs to the Special Issue Advances in Mathematics: Equations, Algebra, and Discrete Mathematics)
13 pages, 801 KiB  
Article
Global Well-Posedness and Analyticity of Generalized Porous Medium Equation in Fourier-Besov-Morrey Spaces with Variable Exponent
by Muhammad Zainul Abidin and Jiecheng Chen
Mathematics 2021, 9(5), 498; https://doi.org/10.3390/math9050498 - 28 Feb 2021
Cited by 11 | Viewed by 2356
Abstract
In this paper, we consider the generalized porous medium equation. For small initial data u0 belonging to the Fourier-Besov-Morrey spaces with variable exponent, we obtain the global well-posedness results of generalized porous medium equation by using the Fourier localization principle and the [...] Read more.
In this paper, we consider the generalized porous medium equation. For small initial data u0 belonging to the Fourier-Besov-Morrey spaces with variable exponent, we obtain the global well-posedness results of generalized porous medium equation by using the Fourier localization principle and the Littlewood-Paley decomposition technique. Furthermore, we also show Gevrey class regularity of the solution. Full article
Back to TopTop