Results 71 to 80 of about 24,283 (189)
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley +1 more source
Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields
ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone +2 more
wiley +1 more source
Uncertainty principle for the Riemann-Liouville operator
A Beurling-Hormander theorem's is proved for the Fourier transform connected with the Riemann-Liouville operator. Nextly, Gelfand-Shilov and Cowling-Price type theorems are established.Se demuestra el teorema de Beurling-Hormander por la transformada de ...
Khaled Hleili +2 more
doaj
On ( p , q ) $(p,q)$ -classical orthogonal polynomials and their characterization theorems
In this paper, we introduce a general ( p , q ) $(p, q)$ -Sturm-Liouville difference equation whose solutions are ( p , q ) $(p, q)$ -analogues of classical orthogonal polynomials leading to Jacobi, Laguerre, and Hermite polynomials as ( p , q ) → ( 1 ...
M Masjed-Jamei +3 more
doaj +1 more source
A fractional residue theorem and its applications in calculating real integrals
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source
Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
doaj +1 more source
Extensions of Liouville theorems
AbstractThe method of deriving Liouville's theorem for subharmonic functions in the plane from the corresponding Hadamard three-circles theorem is extended to a more general and abstract setting. Two extensions of Liouville's theorem for vector-valued holomorphic functions of several complex variables are also mentioned.
openaire +2 more sources
Some Liouville Theorems for the p-Laplacian
We present several Liouville type results for the $p$-Laplacian in $\R^N$. Suppose that $h$ is a nonnegative regular function such that $$ h(x) = a|x|^\gamma\ {\rm for}\ |x|\ {\rm large},\ a>0\ {\rm and}\ \gamma> -p.
Birindelli, I., Demengel, F.
core +1 more source
Liouville theorems for III-posed problems
The paper claims to correct an error in a paper of \textit{H. Brézis} and \textit{J. A. Goldstein} [Improp. posed Bound. Value Probl., Conf. Albuquerque 1974, 65-75 (1975; Zbl 0318.35072)], noting that this error was not picked up by the introduction given by Mathematical Reviews (M.R. 57 {\#}16883) or the review in Zentralblatt für Mathematik.
openaire +2 more sources

