Results 51 to 60 of about 274,043 (302)

J.-L. Lions' Problem Concerning Maximal Regularity of Equations Governed by Non-Autonomous Forms [PDF]

, 2016
An old problem due to J.-L. Lions going back to the 1960s asks whether the abstract Cauchy problem associated to non-autonomous forms has maximal regularity if the time dependence is merely assumed to be continuous or even measurable.
Fackler, Stephan
core   +2 more sources

Social context prevents heat hormetic effects against mutagens during fish development

FEBS Letters, EarlyView.
This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere, Claudio Silva De Freitas, Adam Bates, Kenneth B. Storey, Pedro Beltran‐Alvarez, Katharina C. Wollenberg Valero   +5 more
wiley   +1 more source

Virtual element approximations of the time-fractional nonlinear convection-diffusion equation on polygonal meshes

Mathematics in Engineering
We extend the Virtual Element Method to a two-dimensional unsteady nonlinear convection-diffusion equation characterized by a fractional-order derivative with respect to the time variable.
Zaffar Mehdi Dar, M. Arrutselvi, Chandru Muthusamy, Sundararajan Natarajan, Gianmarco Manzini   +4 more
doaj   +1 more source

Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs

Mathematics, 2021
Let G be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on G. By assuming that the graph G satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev ...
Suying Liu, Feng Liu
doaj   +1 more source

Maximal gamma-regularity

, 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, Veraar, Mark, Weis, Lutz   +2 more
openaire   +2 more sources

The maximal regularity operator on tent spaces

Communications on Pure and Applied Analysis, 2012
Recently, Auscher and Axelsson gave a new approach to non-smooth boundary value problems with $L^{2}$ data, that relies on some appropriate weighted maximal regularity estimates. As part of the development of the corresponding $L^{p}$ theory, we prove here the relevant weighted maximal estimates in tent spaces $T^{p,2}$ for $p$ in a certain open range.
Auscher, Pascal, Monniaux, Sylvie, Portal, Pierre   +2 more
openaire   +7 more sources

Unlocking the potential of tumor‐derived DNA in urine for cancer detection: methodological challenges and opportunities

Molecular Oncology, EarlyView.
Urine is a rich source of biomarkers for cancer detection. Tumor‐derived material is released into the bloodstream and transported to the urine. Urine can easily be collected from individuals, allowing non‐invasive cancer detection. This review discusses the rationale behind urine‐based cancer detection and its potential for cancer diagnostics ...
Birgit M. M. Wever, Renske D. M. Steenbergen   +1 more
wiley   +1 more source

Maximal regularity for non-autonomous Cauchy problems in weighted spaces

Electronic Journal of Differential Equations, 2020
We consider the regularity for the non-autonomous Cauchy problem $$ u'(t) + A(t) u(t) = f(t)\quad (t \in [0, \tau]), \quad u(0) = u_0. $$ The time dependent operator A(t) is associated with (time dependent) sesquilinear forms on a Hilbert space ...
Achache Mahdi, Tebbani Hossni
doaj  

Comportement extrémal des copules diagonales et de Bertino

Comptes Rendus. Mathématique, 2021
The maximal attractors of bivariate diagonal and Bertino copulas are determined under suitable regularity conditions. Some consequences of these facts are drawn, namely bounds on the maximal attractor of a symmetric copula with a given diagonal section ...
Genest, Christian, Sabbagh, Magid
doaj   +1 more source

Clinical applications of next‐generation sequencing‐based ctDNA analyses in breast cancer: defining treatment targets and dynamic changes during disease progression

Molecular Oncology, EarlyView.
Circulating tumor DNA (ctDNA) offers a possibility for different applications in early and late stage breast cancer management. In early breast cancer tumor informed approaches are increasingly used for detecting molecular residual disease (MRD) and early recurrence. In advanced stage, ctDNA provides a possibility for monitoring disease progression and
Eva Valentina Klocker, Samantha Hasenleithner, Rupert Bartsch, Simon P. Gampenrieder, Daniel Egle, Christian F. Singer, Gabriel Rinnerthaler, Michael Hubalek, Katja Schmitz, Zsuzsanna Bago‐Horvath, Andreas Petzer, Sonja Heibl, Ellen Heitzer, Marija Balic, Michael Gnant   +14 more
wiley   +1 more source