Results 51 to 60 of about 16,791 (265)

The Higher Integrability of Commutators of Calderón-Zygmund Singular Integral Operators on Differential Forms

Journal of Function Spaces, 2018
In this article, the higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms is derived. Also, the higher order Poincaré-type inequalities for the commutators acting on the solutions of Dirac-harmonic ...
Jinling Niu, Yuming Xing
doaj   +1 more source

Operator relations characterizing higher-order differential operators

Acta Mathematica Hungarica
Let $r$ be a positive integer, $N$ be a nonnegative integer and $Ω\subset \mathbb{R}^{r}$ be a domain. Further, for all multi-indices $α\in \mathbb{N}^{r}$, $|α|\leq N$, let us consider the partial differential operator $D^α$ defined by \[ D^α= \frac{\partial^{|α|}}{\partial x_{1}^{α_{1}}\cdots \partial x_{r}^{α_{r}}}, \] where $α= (α_{1}, \ldots, α_{r}
Fechner, W., Gselmann, E., Świątczak-Kolenda, A.   +2 more
openaire   +3 more sources

Salmonella lipopolysaccharide‐containing supported lipid bilayers as platforms to study bacteriophage interactions

FEBS Letters, EarlyView.
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace, Alyssa Borges, Charles Arnaud, Tove Karlsson, Nina K. Bröker, Stefanie Barbirz, Marta Bally   +6 more
wiley   +1 more source

Carleman inequalities and unique continuation for higher-order elliptic differential operators [PDF]

Duke Mathematical Journal, 1994
In this thesis, we study the weak unique continuation property for higher order elliptic differential operators with real coefficients via Carleman inequalities. We get several Carleman inequalities with sharp gaps for operators in a reasonable class, which lead eventually to the weak unique continuation property for differential inequalities with ...
openaire   +2 more sources

Phosphoinositides and inositol phosphates as molecular glues

FEBS Letters, EarlyView.
Inositol phosphates (IPs) and phosphoinositides (PIPs) regulate diverse eukaryotic processes. Beyond recruiting signaling proteins or acting as structural cofactors, recent studies suggest they mediate protein–protein interactions as natural molecular glues.
Aleshia Seaton‐Terry, Alexander J. Cutright, Mong Na Claire Loi, Jessica Martin, Joseph W. Gilligan, Jakub N. Kubina, Michael J. Arambula, Susanna Tanada Palmu, Daniella Zhou, Raymond D. Blind   +9 more
wiley   +1 more source

Some properties on degenerate Fubini polynomials

Applied Mathematics in Science and Engineering, 2022
The nth Fubini number enumerates the number of ordered partitions of a set with n elements and is the number of possible ways to write the Fubini formula for a summation of integration of order n. Further, Fubini polynomials are natural extensions of the
Taekyun Kim, Dae San Kim, Hye Kyung Kim, Hyunseok Lee   +3 more
doaj   +1 more source

A second regularized trace formula for a higher order differential operator

Mathematical Methods in the Applied Sciences, 2020
In this paper, we obtain a second regularized trace formula onL2([0, π]; H)for a higher order self‐adjoint differential operator with unbounded operator‐valued coefficient, whereHis a separable Hilbert space.
openaire   +4 more sources

PARK(ing) time–How park deficiency affects the biological clock in a Drosophila model of Parkinson's disease

FEBS Letters, EarlyView.
Drosophila park mutants serve as a model for Parkinson's disease. We used this strain to investigate the connection between oxidative stress and the circadian clock mechanism. We showed that increased oxidative stress affects the physiology of pacemaker cells, disrupting their daily structural plasticity. Lack of rhythmic signaling from pacemaker cells
Kamila Zientara, Kinga Skoczek, Elzbieta Pyza, Milena Damulewicz   +3 more
wiley   +1 more source

Theory of edge states based on the Hermiticity of tight-binding Hamiltonian operators

Physical Review Research, 2020
We develop a theory of edge states based on the Hermiticity of Hamiltonian operators for tight-binding models defined on lattices with boundaries. We describe Hamiltonians using shift operators which serve as differential operators in continuum theories.
Takahiro Fukui
doaj   +1 more source

Asymptotics for certain Wiener integrals associated with higher order differential operators [PDF]

Pacific Journal of Mathematics, 1990
The large deviation results of Donsker-Varadhan for operators of the form \(\Delta_ x+V(x)\), where \(\Delta_ x\) is the Laplacian and V(x) is a real-valued potential, are extended here to operators of the form \(\Delta_ x+c(x)A_ y\), where c(x) is a non-negative locally Hölder function and \(A_ y\) is a formally selfadjoint elliptic operator of order ...
Griego, Richard J., Korzeniowski, Andrzej   +1 more
openaire   +3 more sources