Results 31 to 40 of about 103,524 (321)

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

Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions

open access: yesJournal of Function Spaces, 2020
In this paper, the regularity properties of two classes of commutators of the one-sided Hardy-Littlewood maximal functions and their fractional variants are investigated.
Daiqing Zhang
doaj   +1 more source

ОЦЕНКА МАКСИМАЛЬНОЙ РЕГУЛЯРНОСТИ ДЛЯ ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ С КОЛЕБЛЮЩИМИСЯ КОЭФФИЦИЕНТАМИ

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
В работе рассматривается дифференциальное уравнение второго порядка с неограниченными коэффициентами. Получены достаточные условия суммируемости с весом решения и его производных вплоть до второго порядка.
A. N. Yesbayev, K. N. Ospanov
doaj   +1 more source

Existence and smoothness of solutions of a singular differential equation of hyperbolic type

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper investigates the question of the existence of solutions to the semiperiodic Dirichlet problem for a class of singular differential equations of hyperbolic type.
M.B. Muratbekov, Ye.N. Bayandiyev
doaj   +1 more source

On the regularity of maximal operators [PDF]

open access: yes, 2008
We study the regularity of the bilinear maximal operator when applied to Sobolev functions, proving that it maps $W^{1,p}(\mathbb{R}) \times W^{1,q}(\mathbb{R}) \to W^{1,r}(\mathbb{R})$ with $1 1$.
Carneiro, Emanuel, Moreira, Diego
core   +1 more source

Evolution Equations governed by Lipschitz Continuous Non-autonomous Forms [PDF]

open access: yes, 2014
We prove $L^2$-maximal regularity of linear non-autonomous evolutionary Cauchy problem \begin{equation}\label{eq00}\nonumber \dot{u} (t)+A(t)u(t)=f(t) \hbox{ for }\ \hbox{a.e.
Laasri, Hafida, Sani, Ahmed
core   +3 more sources

The Maximal Regularity of Nonlocal Parabolic Monge–Ampère Equations and Its Monotonicity in the Whole Space

open access: yesAxioms
The Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
doaj   +1 more source

A characterization of regular maximal ideals [PDF]

open access: yesPacific Journal of Mathematics, 1969
We show that if A is generated by a single element then a closed subspace M of codimension one in A and satisfying (1) is a regular maximal ideal and we show by an example that this result may fail for an algebra which is generated two elements. We have results related to the above, which can be applied to Lι(G), where G is a locally compact abelian ...
Warner, C. Robert, Whitley, Robert
openaire   +2 more sources

Maximal regularity for non-autonomous Robin boundary conditions

open access: yes, 2015
We consider a non-autonomous Cauchy problem involving linear operators associated with time-dependent forms $a(t;.,.):V\times V\to {\mathbb{C}}$ where $V$ and $H$ are Hilbert spaces such that $V$ is continuously embedded in $H$.
Arendt, Wolfgang, Monniaux, Sylvie
core   +2 more sources

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