Results 51 to 60 of about 140,803 (305)

The theorem of iterates for elliptic and non-elliptic operators

Journal of Functional Analysis, 2022
We introduce a new approach for the study of the Problem of Iterates using the theory on general ultradifferentiable structures developed in the last years. Our framework generalizes many of the previous settings including the Gevrey case and enables us, for the first time, to prove non-analytic Theorems of Iterates for non-elliptic differential ...
Stefan Fürdös, Gerhard Schindl
openaire   +3 more sources

A Lower Bound for the LS Category of a Formal Elliptic Space [PDF]

, 2005
We give a lower bound for the LS category of a formal elliptic space in terms of its rational cohomology.
Kotani, Yasusuke, Yamaguchi, Toshihiro
core   +1 more source

Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes

FEBS Open Bio, EarlyView.
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard, Emma‐Jayne Proctor, Jiawa Wang, Nikolas P. Johnston, Andrew Hayes, Georgia McCorkell, Haibo Yu, Jai Tree, Mark R. Davies, Mark J. Walker, Ronald Sluyter, Stephan Brouwer, Martina L. Sanderson‐Smith   +12 more
wiley   +1 more source

Existence of a unique solution to an elliptic partial differential equation

Electronic Journal of Differential Equations, 2019
The purpose of this article is to prove the existence of a unique classical solution to the quasilinear elliptic equation $-\nabla \cdot(a(u) \nabla u)=f$ for $\mathbf{x} \in \Omega$, which satisfies the condition that $u(\mathbf{x}_0)=u_0$ at a ...
Diane L. Denny
doaj  

Optimal $C^{1, \alpha}$ regularity for quasilinear elliptic equations with Orlicz growth

Electronic Journal of Qualitative Theory of Differential Equations
In this paper we obtain the interior optimal $C^{1, \alpha}$ regularity of weak solutions for the following quasilinear elliptic equations with Orlicz growth in divergence form \begin{equation*} -\operatorname{div}a(x, Du)=- \operatorname{div} \textbf{F}
Xiaohan Wang, Fengping Yao
doaj   +1 more source

Spiraling elliptic hollow beams with cross phase

New Journal of Physics, 2023
We introduced a class of spiraling elliptic hollow beams with the cross phase. Due to the cross phase, the spiraling elliptic hollow beams exhibit three key characteristics, having the elliptic peak ring, carrying the orbital angular momentum (OAM), and ...
Guo Liang, Fangjie Shu, Shaoshuo Ma, Wenjing Cheng, Chunzhi Sun   +4 more
doaj   +1 more source

Elliptic nets and elliptic curves [PDF]

Algebra & Number Theory, 2011
An elliptic divisibility sequence is an integer recurrence sequence associated to an elliptic curve over the rationals together with a rational point on that curve. In this paper we present a higher-dimensional analogue over arbitrary base fields. Suppose E is an elliptic curve over a field K, and P_1, ..., P_n are points on E defined over K.
openaire   +3 more sources

Some Families of Elliptic Curves [PDF]

, 2023
Elliptic curves, intricate mathematical structures, form a nexus between number theory, alge- braic geometry, and cryptography. This paper offers a thorough exploration of these curves, delving into their foundational properties, historical origins, and ...
Shah, Sudev
core  

Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments

FEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
wiley   +1 more source

Elliptic surfaces

Advanced Studies in Pure Mathematics, 2019
This survey paper concerns elliptic surfaces with section. We give a detailed overview of the theory including many examples. Emphasis is placed on rational elliptic surfaces and elliptic K3 surfaces. To this end, we particularly review the theory of Mordell-Weil lattices and address arithmetic questions.
Schütt, Matthias, Shioda, Tetsuji
openaire   +3 more sources