Results 81 to 90 of about 9,965 (190)

Harris dispersion relation and Bernstein modes in dense magnetized quantum plasmas

Physical Review Research
The Bernstein mode is a well-known electrostatic mode in magnetized plasmas, and it has applications in many fields. This paper extends the Bernstein mode from classical plasmas to quantum plasmas by means of the quantum kinetic theory in a self ...
Tian-Xing Hu, Dong Wu, Jie Zhang
doaj   +1 more source

New Frontiers of Fractal Uncertainty

Fractal and Fractional
We extend the classical fractal uncertainty principle (FUP) framework in time-frequency analysis by exploring several novel directions. First, we generalize the FUP beyond the classical Gaussian window by investigating non-Gaussian windows and the ...
Saeed Hashemi Sababe, Ismail Nikoufar
doaj   +1 more source

On the Single Layer Boundary Integral Operator for the Dirac Equation. [PDF]

Complex Anal Oper Theory, 2023
Holzmann M.
europepmc   +1 more source

Almost Diagonalization of Pseudodifferential Operators [PDF]

, 2019
In this review we focus on the almost diagonalization of pseudodifferential operators and highlight the advantages that time-frequency techniques provide here. In particular, we retrace the steps of an insightful paper by Gr chenig, who succeeded in characterizing a class of symbols previously investigated by Se strand by noticing that Gabor frames ...
openaire   +2 more sources

Graded hypoellipticity of BGG sequences. [PDF]

Ann Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems

Forum of Mathematics, Sigma
We solve a problem posed by Calabi more than 60 years ago, known as the Saint-Venant compatibility problem: Given a compact Riemannian manifold, generally with boundary, find a compatibility operator for Lie derivatives of the metric tensor. This problem
Raz Kupferman, Roee Leder
doaj   +1 more source

Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]

J Geom Anal, 2022
Haller S.
europepmc   +1 more source

Symplectic Radon Transform and the Metaplectic Representation. [PDF]

Entropy (Basel), 2022
de Gosson MA.
europepmc   +1 more source

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

Advanced Nonlinear Studies
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
doaj   +1 more source

Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]

Arch Ration Mech Anal, 2023
Karpukhin M, Lagacé J, Polterovich I.
europepmc   +1 more source