Results 21 to 30 of about 102,383 (324)

On the inverse of the sum of two sectorial operators [PDF]

open access: yes, 2013
We study an abstract linear operator equation on a Banach space by using the inverse of the sum of two sectorial operators. We prove that the boundedness of a special type of operator valued $H^\infty$-calculus is sufficient for maximal regularity of the
Roidos, Nikolaos
core   +1 more source

Problems on averages and lacunary maximal functions [PDF]

open access: yes, 2011
We prove three results concerning convolution operators and lacunary maximal functions associated to dilates of measures. First, we obtain an $H^1$ to $L^{1,\infty}$ bound for lacunary maximal operators under a dimensional assumption on the underlying ...
Seeger, Andreas, Wright, James
core   +6 more sources

Regularity of one-sided multilinear fractional maximal functions

open access: yesOpen Mathematics, 2018
In this paper we introduce and investigate the regularity properties of one-sided multilinear fractional maximal operators, both in continuous case and in discrete case.
Liu Feng, Xu Lei
doaj   +1 more source

Maximal Product of Graphs under Vague Environment

open access: yesMathematical and Computational Applications, 2020
Graph models are found everywhere in natural and human made structures, including process dynamics in physical, biological and social systems. The product of graphs are appropriately used in several combinatorial applications and in the formation of ...
Behnaz Sheikh Hoseini   +4 more
doaj   +1 more source

Numerical analysis of nonlinear subdiffusion equations [PDF]

open access: yes, 2017
We present a general framework for the rigorous numerical analysis of time-fractional nonlinear parabolic partial differential equations, with a fractional derivative of order $\alpha\in(0,1)$ in time.
Jin, Bangti, Li, Buyang, Zhou, Zhi
core   +2 more sources

Endpoint regularity of discrete multilinear fractional nontangential maximal functions

open access: yesAdvances in Difference Equations, 2019
Given m≥1 $m\geq 1$, 0≤λ≤1 $0\leq \lambda \leq 1$, and a discrete vector-valued function f→=(f1,…,fm) $\vec{f}=(f_{1},\ldots,f_{m})$ with each fj:Zd→R $f_{j}:\mathbb{Z} ^{d}\rightarrow \mathbb{R}$, we consider the discrete multilinear fractional ...
Daiqing Zhang
doaj   +1 more source

Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs

open access: yesMathematics, 2021
Let G be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on G. By assuming that the graph G satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev ...
Suying Liu, Feng Liu
doaj   +1 more source

Maximal regular boundary value problems in Banach-valued function spaces and applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint.
Veli B. Shakhmurov
doaj   +1 more source

Parabolic Problems with Dynamic Boundary Conditions in Lp Spaces

open access: yesBruno Pini Mathematical Analysis Seminar, 2014
We illustrate a maximal regularity result for parabolic problems with dynamic boundary conditions in Lp spaces.
Davide Guidetti
doaj   +1 more source

Comportement extrémal des copules diagonales et de Bertino

open access: yesComptes Rendus. Mathématique, 2021
The maximal attractors of bivariate diagonal and Bertino copulas are determined under suitable regularity conditions. Some consequences of these facts are drawn, namely bounds on the maximal attractor of a symmetric copula with a given diagonal section ...
Genest, Christian, Sabbagh, Magid
doaj   +1 more source

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