Results 31 to 40 of about 103,524 (321)
Maximal regular boundary value problems in Banach-valued function spaces and applications
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
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Parabolic Problems with Dynamic Boundary Conditions in Lp Spaces
We illustrate a maximal regularity result for parabolic problems with dynamic boundary conditions in Lp spaces.
Davide Guidetti
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Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions
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
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ОЦЕНКА МАКСИМАЛЬНОЙ РЕГУЛЯРНОСТИ ДЛЯ ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ С КОЛЕБЛЮЩИМИСЯ КОЭФФИЦИЕНТАМИ
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
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Existence and smoothness of solutions of a singular differential equation of hyperbolic type
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
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On the regularity of maximal operators [PDF]
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
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Evolution Equations governed by Lipschitz Continuous Non-autonomous Forms [PDF]
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
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The Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
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A characterization of regular maximal ideals [PDF]
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
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Maximal regularity for non-autonomous Robin boundary conditions
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
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