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Strongly regular graphs with maximal energy [PDF]

Linear Algebra and its Applications, 2007
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Weighted norm estimates and maximal regularity

Advances in Differential Equations, 2002
The initial value problem for the linear evolution equation \(u'(t) + A u(t) = f(t), \) \(t>0\), and a discrete counterpart that can be interpreted as the forward Euler discretization are considered. Here, \(A\) denotes a generator of a bounded analytic semigroup in a Banach space \(X\) (especially \(X=L_q(\Omega)\) for some domain \(\Omega\) and \(q ...
Blunck, S., Kunstmann, P. C.
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Non-autonomous Maximal Regularity Under Besov Regularity in Time

Mediterranean Journal of Mathematics, 2022
Abstract We consider the maximal regularity problem for non-autonomous Cauchy problems u′(t) + A(t)u(t) = f (t) t-a.e., u(0) = u0. Each operator A(t) arises from a time depending sesquilinear form a(t) on a Hilbert space H with constant domain V. We prove maximal Lp-regularity result for p ≤ 2 under min-imal regularity assumptions on the forms.
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A note on discrete maximal regularity for functional difference equations with infinite delay

Advances in Difference Equations, 2006
Using exponential dichotomies, we get maximal regularity for retarded functional difference equations. Applications on Volterra difference equations with infinite delay are shown.
Cuevas Claudio, vidal Claudio
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Strong solutions for the Navier-Stokes equations on bounded and unbounded domains with a moving boundary

Electronic Journal of Differential Equations, 2007
It is proved under mild regularity assumptions on the data that the Navier-Stokes equations in bounded and unbounded noncylindrical regions admit a unique local-in-time strong solution.
Juergen Saal
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Maximal regularity of parabolic transmission problems [PDF]

Journal of Evolution Equations, 2020
AbstractLinear reaction–diffusion equations with inhomogeneous boundary and transmission conditions are shown to possess the property of maximal$$L_\mathrm{p}$$Lp regularity. The new feature is the fact that the transmission interface is allowed to intersect the boundary of the domain transversally.
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Conditions for maximal regularity of solutions to fourth-order differential equations

Қарағанды университетінің хабаршысы. Математика сериясы
This article investigates a fourth-order differential equation defined in a Hilbert space, with an unbounded intermediate coefficient and potential. The key distinction from previous research lies in the fact that the intermediate term of the equation ...
Ye.O. Moldagali, K.N. Ospanov
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A Note on the Regularity of the Two-Dimensional One-Sided Hardy-Littlewood Maximal Function

Journal of Function Spaces, 2018
We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal operator. We point out that the above operator is bounded and continuous on the Sobolev spaces Ws,p(R2) for 0≤s≤1 and ...
Feng Liu, Lei Xu
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Maximal $L_{p} $-regularity for a second-order differential equation with unbounded intermediate coefficient

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We consider the following equation \[-y''+r\left(x\right)y'+q\left(x\right)y=f(x), \] where the intermediate coefficient $r$ is not controlled by $q$ and it is can be strong oscillate. We give the conditions of well-posedness in $L_{p} \left(-\infty ,\,
Kordan Ospanov
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The Maximal Regularity of Nonlinear Second-Order Hyperbolic Boundary Differential Equations

Axioms
In this paper, we show the maximal regularity of nonlinear second-order hyperbolic boundary differential equations. We aim to show if the given second-order partial differential operator satisfies the specific ellipticity condition; additionally, if ...
Xingyu Liu
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