Results 71 to 80 of about 320,872 (183)

A note on higher spin symmetry in the IIB matrix model with the operator interpretation

open access: yesNuclear Physics B, 2019
We study the IIB matrix model in an interpretation where the matrices are differential operators defined on curved spacetimes. In this interpretation, coefficients of higher derivative operators formally appear to be massless higher spin fields.
Katsuta Sakai
doaj   +1 more source

Higher order differential operators on graphs

open access: yes, 2020
This thesis consists of two papers, enumerated by Roman numerals. The main focus is on the spectral theory of -Laplacians. Here, an -Laplacian, for integer , refers to a metric graph equipped with a differential operator whose differential expression is the -th derivative.
openaire   +1 more source

Hermitean Cauchy Integral Decomposition of Continuous Functions on Hypersurfaces

open access: yesBoundary Value Problems, 2008
We consider Hölder continuous circulant (2×2) matrix functions G21 defined on the Ahlfors-David regular boundary Γ of a domain Ω in ℝ2n.
Frank Sommen   +6 more
doaj   +1 more source

On the eigenvalues of certain canonical higher-order ordinary differential operators

open access: yesJournal of Mathematical Analysis and Applications, 2006
We consider the operator of taking the $2p$th derivative of a function with zero boundary conditions for the function and its first $p-1$ derivatives at two distinct points. Our main result provides an asymptotic formula for the eigenvalues and resolves a question on the appearance of certain regular numbers in the eigenvalue sequences for $p=1$ and $p=
Böttcher, Albrecht, Widom, Harold
openaire   +2 more sources

Carleman estimates for higher order partial differential operators and applications

open access: yesJournal of Mathematical Analysis and Applications
In this paper, we obtain a Carleman estimate for the higher order partial differential operator. In the process of establishing this estimate, we developed a new method, which is called the back-propagation method (the BPM, for short). This method can also be used to build up Carleman estimates for some other partial differential operators, and might ...
Fu, Xiaoyu, Gao, Yuan
openaire   +3 more sources

Shehu Transform and Applications to Caputo-Fractional Differential Equations

open access: yesInternational Journal of Analysis and Applications, 2019
In this manuscript we establish the expressions of the Shehu transform for fractional Riemann-Liouville and Caputo operators. With the help of this new integral transform we solve higher order fractional differential equations in the Caputo sense.
Rachid Belgacem   +2 more
doaj   +2 more sources

Existence and Approximate Controllability for Higher-Order Hilfer Fractional Evolution Equations via Fixed-Point and Sequence Approaches

open access: yesMathematics
This study addresses the existence and approximate controllability of a type of higher-order Hilfer fractional evolution differential (HOHFED) system with time delays in Banach spaces. Using the properties of the Mittag–Leffler function, cosine families,
Marimuthu Mohan Raja   +2 more
doaj   +1 more source

An inverse scattering formalism for higher-order differential operators

open access: yesJournal of Mathematical Analysis and Applications, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The higher order differential operators in direct sum spaces

open access: yesJournal of Differential Equations, 1990
The author studies two ordinary differential operators \[ M_ iy=p_{0i}y^{(n)}+p_{1i}y^{(n-1)}+...+p_{ni}y,\quad i=1,2, \] given on intervals \(I_ 1=[a,b]\) and \(I_ 2=[c,d]\) respectively, \(- \infty \leq ...
openaire   +1 more source

Hermitean Téodorescu Transform Decomposition of Continuous Matrix Functions on Fractal Hypersurfaces

open access: yesBoundary Value Problems, 2010
We consider Hölder continuous circulant (2×2) matrix functions G21 defined on the fractal boundary Γ of a domain Ω in ℝ2n. The main goal is to study under which conditions such a function G21 can be decomposed as G21=G21+&
Hennie De Schepper   +3 more
doaj   +1 more source

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