This note is concerned with the essential part of Finite Element Methods (FEM) approximation error analysis for quasi-Newtonian modelling thixo-viscoplastic (TVP) flow problems. The developed FEM settings thixotropic generalized Navier-Stokes equations based on a constrained monotonicity and continuity coupled system, which cornerstone an efficient monolithic Newton-multigrid solver. manifested...

As it was shown by Shen, the Riesz transforms associated to Schrödinger operator L=−Δ+V are not bounded on Lp(Rd)-spaces for all p,1<p<∞, under only assumption that potential satisfies a reverse Hölder condition of order d/2, d≥3. Furthermore, they p in some finite interval type (1,p0), so can be expected preserve regularity spaces. In this work we search kind minimal additional conditions obta...

Abstract In this paper we study elliptic and parabolic boundary value problems with inhomogeneous conditions in weighted function spaces of Sobolev, Bessel potential, Besov Triebel-Lizorkin type. As one the main results, solve problem L q -maximal regularity for case, where spatial weight is a power Muckenhoupt $A_{\infty }$ <...

We establish precise regularity conditions for Lp-boundedness of Fourier multipliers in the group algebra SLn(R). Our main result is inspired by Hörmander–Mikhlin criterion from classical harmonic analysis, although it substantially and necessarily different. Locally, we get sharp growth rates Lie derivatives around singularity nearly optimal regularity. The asymptotics also match Mikhlin formu...

Abstract: The purpose of this paper is to discuss the properties of regularity and strong regularity of fuzzy measure on metric spaces following the previous results. Some properties are defined with the help of nulladditivity such as inner\outer regularity and the regularity of fuzzy measure. We define the strong regularity of fuzzy measures and show our result that the null-additive fuzzy mea...

We show that Souslin Absoluteness and Projective Regularity holds ii Souslin Uniformization does. As a result, Souslin Absoluteness plus 1 n Projective Regularity implies 1 n+1 Projective Regularity. Another result is that 1 5 Souslin Absoluteness implies 1 4 Projective Regularity, and 1 6 Souslin Absoluteness implies 1 5 Projective Regularity.