Results 1 to 10 of about 31,293 (331)

The Fourier transform and convolutions generated by a differential operator with boundary condition on a segment

, 2013
We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek, Tokmagambetov, Niyaz   +1 more
core   +1 more source

Resonance fluorescence in the resolvent-operator formalism [PDF]

Physical Review A, 2017
The Mollow spectrum for the light scattered by a driven two-level atom is derived in the resolvent operator formalism. The derivation is based on the construction of a master equation from the resolvent operator of the atom-field system. We show that the natural linewidth of the excited atomic level remains essentially unmodified, to a very good level ...
Debierre, V., Harman, Z.
openaire   +3 more sources

The significant contribution of stochastic forcing to nonlinear energy transfer in resolvent analysis

Theoretical and Applied Mechanics Letters
Nonlinear energy transfer is represented through eddy viscosity and stochastic forcing within the framework of resolvent analysis. Previous investigations estimate the contribution of eddy-viscosity-enhanced resolvent operator to nonlinear energy ...
Youhua Wang, Ting Wu, Guowei He
doaj   +1 more source

Approximation of point interactions by geometric perturbations in two-dimensional domains

Bulletin of Mathematical Sciences, 2023
In this paper, we present a new type of approximation of a second-order elliptic operator in a planar domain with a point interaction. It is of a geometric nature that the approximating family consists of operators with the same symbol and regular ...
D. I. Borisov, P. Exner
doaj   +1 more source

Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model

, 2015
We prove operator-norm resolvent convergence estimates for one-dimensional periodic differential operators with rapidly oscillating coefficients in the non-uniformly elliptic high-contrast setting, which has been out of reach of the existing ...
Cherednichenko, Kirill D., Kiselev, Alexander V.   +1 more
core   +1 more source

Operators with hermitian resolvent

Advances in Mathematics, 1987
For the pseudofifferential operator \(T_{\sigma}: {\mathcal S}\to L^ p({\mathbb{R}}^ n)\) (\({\mathcal S}\) being the Schwartz space) and the complex- valued, measurable function q the space \({\mathcal D}\) is defined to be the set of all functions \(\phi\in {\mathcal S}\) such that \(q\phi\) is in L p(\({\mathbb{R}}^ n\)) and the operator \(T ...
openaire   +2 more sources

Analysis Of Korteweg-Type Compressible Fluid Model With Slip Boundary Conditions In 3-Dimensional Half-Space

Cauchy: Jurnal Matematika Murni dan Aplikasi
The Korteweg fluid model is typically used to describe the flow of two-phase fluids, where phase transitions occur at the interface, recognized by capillary effects.
Suma Inna, Muhammad Manaqib, Ilman Gifari   +2 more
doaj   +1 more source

Uniform resolvent estimates for Schr\"odinger operator with an inverse-square potential

, 2019
We study the uniform resolvent estimates for Schr\"odinger operator with a Hardy-type singular potential. Let $\mathcal{L}_V=-\Delta+V(x)$ where $\Delta$ is the usual Laplacian on $\mathbb{R}^n$ and $V(x)=V_0(\theta) r^{-2}$ where $r=|x|, \theta=x/|x|$
Mizutani, Haruya, Zhang, Junyong, Zheng, Jiqiang   +2 more
core   +1 more source

Clinical Insights Into Hypercalcemia of Malignancy in Childhood

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley   +1 more source

The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

Annales Mathematicae Silesianae
In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.
Allahverdiev Bilender P., Tuna Hüseyin, Isayev Hamlet A.   +2 more
doaj   +1 more source