Results 51 to 60 of about 10,912 (293)
Regularity of maximal functions and operator semigroups [PDF]
, 2023 This work is about regularity properties of maximal functions. The first part of the project is dedicated to the study of the fundamental aspects of the Hardy-Littlewood maximal function and, additionally, when the boundedness is preserved if we ...
Torres Rullán, Daniel
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Time Fractional Derivatives and Evolution Equations
Bruno Pini Mathematical Analysis Seminar, 2017 In this seminar we introduce the fractional derivatives of Riemann-Liouville and Caputo, with some of their main properties. We conclude by illustrating certain results of maximal regularity for mixed initial-boundary value problems, evolving them.
Davide Guidetti
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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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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
Maximal Graphs and Spacelike Mean Curvature Flows in Semi-Euclidean Spaces [PDF]
, 2011 Two main results are proved. The first is for the maximal graph system in semi-Euclidean spaces. Existence of smooth solutions to the Dirichlet problem is proved, under certain assumptions on the boundary data.
THORPE, BENJAMIN,STUART +1 more
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Endpoint regularity of maximal functions in higher dimensions
, 2022 It is well known that the Hardy-Littlewood maximal operator is bounded on Lebesgue spaces if the exponent is strictly larger than one, and that this bound fails when the Lebesgue exponent is equal to one.
Weigt, Julian
core
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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Molecular Oncology, EarlyView.We have established a humanized orthotopic patient‐derived xenograft (Hu‐oPDX) mouse model of high‐grade serous ovarian cancer (HGSOC) that recapitulates human tumor–immune interactions. Using combined anti‐PD‐L1/anti‐CD73 immunotherapy, we demonstrate the model's improved biological relevance and enhanced translational value for preclinical ...
Luka Tandaric +10 more
wiley +1 more source
Maximal Lp-Regularity of Deterministic and Stochastic PDEs [PDF]
, 2019 This thesis aims to explain and prove Theorem 1.1 from the paper 'Stochastic Maximal Lp- Regularity' by Jan van Neerven, Mark Veraar and Lutz Weis [43].
McCarthy, Hugh
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Molecular Oncology, EarlyView.EXOSC10, an essential nuclear RNA exosome‐associated 3′‐5′ exoribonuclease, is inhibited by the anticancer drug 5‐fluorouracil (5‐FU), and EXOSC10 depletion increases 5‐FU sensitivity. The colon‐cancer variant EXOSC10S402T, located in a proteolysis motif, is stable and nuclear but nonfunctional in vivo.
Radhika Sain +10 more
wiley +1 more source