Results 61 to 70 of about 101,397 (323)
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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Maximal Regularity for Nonautonomous Evolution Equations [PDF]
Advanced Nonlinear Studies, 2004 Abstract We derive sufficient conditions, perturbation theorems in particular, for nonautonomous evolution equations to possess the property of maximal Lp regularity.
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A bioinformatics screen identifies TCF19 as an aggressiveness‐sustaining gene in prostate cancer
Molecular Oncology, EarlyView.Gene expression meta‐analysis in multiple prostate cancer patient cohorts identifies Transcription factor 19 (TCF19) as an aggressiveness‐sustaining gene with prognostic potential. TCF19 is a gene repressed by androgen signaling that sustains core cancer‐related processes such as vascular permeability or tumor growth and metastasis.
Amaia Ercilla +15 more
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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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Molecular Oncology, EarlyView.Using multi‐omic characterization, we aimed to identify key regulators specific to squamous cell lung carcinoma (SqCC). SqCC‐specific differentially expressed genes were integrated with metabolics data. High expression of the creatine transporter SLC6A8, along with elevated creatine levels, appeared to be a distinct metabolic feature of SqCC.
Johan Staaf +10 more
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Bruno Pini Mathematical Analysis Seminar, 2018 In this seminar we illustrate some results of maximal regularity for the Cauchy-Dirichlet mixed problem, with a fractional time derivative of Caputo type in spaces of continuous and Hölder continuous functions.
Davide Guidetti
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Advances in Nonlinear Analysis, 2023 This article studies the stability of a stationary solution to the three-dimensional Navier-Stokes equations in a bounded domain, where surface tension effects are taken into account.
Watanabe Keiichi
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Mathematics, 2021 Consider a free boundary problem of compressible-incompressible two-phase flows with surface tension and phase transition in bounded domains Ωt+,Ωt−⊂RN, N≥2, where the domains are separated by a sharp compact interface Γt⊂RN−1.
Keiichi Watanabe
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Regularity of the Hardy-Littlewood maximal operator on block decreasing functions
, 2009 We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
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, 2012 In this paper we prove maximal regularity estimates in "square function spaces" which are commonly used in harmonic analysis, spectral theory, and stochastic analysis. In particular, they lead to a new class of maximal regularity results for both deterministic and stochastic equations in $L^p$-spaces with ...
van Neerven, Jan +2 more
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