Results 21 to 30 of about 322,076 (276)

Supersymmetric Quantum Mechanics and Painlev\'e IV Equation [PDF]

, 2011
As it has been proven, the determination of general one-dimensional Schr\"odinger Hamiltonians having third-order differential ladder operators requires to solve the Painlev\'e IV equation. In this work, it will be shown that some specific subsets of the
Bermudez, David, C, David J. Fernández
core   +4 more sources

Higher Integrability of the Composite Operator T D G for Differential Forms

Journal of Harbin University of Science and Technology, 2023
We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the ...
ZHAO Pengfei, BI Shujuan, LIU Zhenjie
doaj   +1 more source

Discrete spherical means of directional derivatives and Veronese maps [PDF]

, 2011
We describe and study geometric properties of discrete circular and spherical means of directional derivatives of functions, as well as discrete approximations of higher order differential operators.
Alexander Belyaev, Arnold, Aubert, Bannai, Bickley, Birkhoff, Boris Khesin, Bradford, Childress, Colonius, Delsarte, Friedman, Gonzalez, Gordon, Hamming, Harris, Hong, Jähne, Kamgar-Parsi, Kantorovich, Koenderink, Langer, Natterer, Patra, Perona, Perona, Petrila, Pottmann, Pratt, Schneider, Serge Tabachnikov, Seymour, Stroud, Weickert, Weickert, Weickert, Zhong   +36 more
core   +2 more sources

Higher order nonlinear degenerate differential operator equations

Applied Mathematics Letters, 2009
The authors present optimal regularity results in \(L^p(0,a;E)\) for nonlocal boundary value problems for higher order nonlinear degenerate differential operator equations of the type \[ (-1)^m u^{[2m]}(x) +\sum_{i=0}^{2m-1} A_i(x) u^{[i]}(x)+Au(x)=F(x,u, u^{[1]},\dots,u^{[2m-1]}) \] with boundary conditions \[ \sum_{i=0}^{m_k}\alpha_{ki}u^{[i]}(0 ...
Agarwal, Ravi P., O’Regan, Donal, Shakhmurov, Veli   +2 more
openaire   +3 more sources

Multipoint correlators on the supersymmetric Wilson line defect CFT

Journal of High Energy Physics, 2022
We study multipoint correlators of protected scalars on the Maldacena-Wilson line in N $$ \mathcal{N} $$ = 4 SYM. Working at weak coupling in the planar limit, we derive an explicit recursion relation that captures next-to-leading order correlators with ...
Julien Barrat, Pedro Liendo, Giulia Peveri, Jan Plefka   +3 more
doaj   +1 more source

The Teodorescu operator in Clifford analysis [PDF]

, 2012
Euclidean Clifford analysis is a higher dimensional function theory centred around monogenic functions, i.e., null solutions to a first order vector valued rotation invariant differential operator called the Dirac operator.
Brackx, Fred, De Schepper, Hennie, Luna Elizarraras, Maria Elena, Shapiro, Michael   +3 more
core   +2 more sources

Complete SMEFT predictions for four top quark production at hadron colliders

Journal of High Energy Physics, 2022
We study four top quark production at hadron colliders in the Standard Model Effective Field Theory (SMEFT). We perform an analysis at the tree-level, including all possible QCD- and EW-coupling orders and relevant dimension-six operators.
Rafael Aoude, Hesham El Faham, Fabio Maltoni, Eleni Vryonidou   +3 more
doaj   +1 more source

Regularization and Inverse Spectral Problems for Differential Operators with Distribution Coefficients

Mathematics, 2023
In this paper, we consider a class of matrix functions that contains regularization matrices of Mirzoev and Shkalikov for differential operators with distribution coefficients of order n≥2.
Natalia P. Bondarenko
doaj   +1 more source

Random-field Solutions to Linear Hyperbolic Stochastic Partial Differential Equations with Variable Coefficients [PDF]

, 2017
In this article we show the existence of a random-field solution to linear stochastic partial differential equations whose partial differential operator is hyperbolic and has variable coefficients that may depend on the temporal and spatial argument. The
Ascanelli, Alessia, Süß, André
core   +2 more sources

Gaudin models and multipoint conformal blocks. Part II. Comb channel vertices in 3D and 4D

Journal of High Energy Physics, 2021
It was recently shown that multi-point conformal blocks in higher dimensional conformal field theory can be considered as joint eigenfunctions for a system of commuting differential operators.
Ilija Burić, Sylvain Lacroix, Jeremy Mann, Lorenzo Quintavalle, Volker Schomerus   +4 more
doaj   +1 more source