Results 41 to 50 of about 274,043 (302)
Parabolic Problems with Dynamic Boundary Conditions in Lp Spaces
Bruno Pini Mathematical Analysis Seminar, 2014 We illustrate a maximal regularity result for parabolic problems with dynamic boundary conditions in Lp spaces.
Davide Guidetti
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On the regularity of the maximal function of a BV function [PDF]
Journal of Differential Equations, 2021 We show that the non-centered maximal function of a BV function is quasicontinuous. We also show that \emph{if} the non-centered maximal functions of an SBV function is a BV function, then it is in fact a Sobolev function. Using a recent result of Weigt, we are in particular able to show that the non-centered maximal function of a set of finite ...
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The forward maximal regularity operator commutes with the backward [PDF]
arXiv, 2023 Given a generator of a bounded analytic semigroup on a Hilbert space, we show that the corresponding forward maximal regularity operator commutes with the backward. In particular, for self-adjoint generators the images under the two maximal regularity operators have equal unweighted Hilbert space norms.
arxiv
Maximal Solutions of Sparse Analysis Regularization [PDF]
Journal of Optimization Theory and Applications, 2018 This paper deals with the non-uniqueness of the solutions of an analysis-Lasso regularization. Most of previous works in this area is concerned with the case where the solution set is a singleton, or to derive guarantees to enforce uniqueness. Our main contribution consists in providing a geometrical interpretation of a solution with a maximal D ...
Abdessamad Barbara +2 more
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Evolution Equations governed by Lipschitz Continuous Non-autonomous Forms [PDF]
, 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
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Regularity for commutators of the local multilinear fractional maximal operators
Advances in Nonlinear Analysis, 2020 In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above
Zhang Xiao, Liu Feng
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Maximal regularity under quadratic estimates [PDF]
arXiv, 2023 In this Short Note we complement the intriguing harmonic analytic perspective due to P. Auscher and A. Axelsson for the abstract evolution equations. This concerns a unified approach to temporally weighted estimates for the forward and backward maximal regularity operators in presence of quadratic estimates and functional calculi.
arxiv
Maximal regularity for non-autonomous Robin boundary conditions
, 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
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Maximal triangulations of a regular prism
Journal of Combinatorial Theory, Series A, 2004 In this paper, we resolve two conjectures of De Loera, Santos, and Takeuchi in the affirmative, computing the maximal size of any regular triangulation of the $n$-prism and $n$-antiprism.
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Solvability of the abstract evolution equations in Ls-spaces with critical temporal weights
Open Mathematics, 2021 This paper deals with the abstract evolution equations in Ls{L}^{s}-spaces with critical temporal weights. First, embedding and interpolation properties of the critical Ls{L}^{s}-spaces with different exponents ss are investigated, then solvability of ...
Zhang Qinghua, Tan Zhizhong
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