Results 71 to 80 of about 3,216 (210)

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley   +1 more source

Quasi-spectral decomposition of the heat potential

open access: yesElectronic Journal of Differential Equations, 2016
In this article, by multiplying of the unitary operator $$ (Pf)(x,t)=f(x,T-t),\quad 0\leq t\leq T, $$ the heat potential turns into a self-adjoint operator.
Tynysbek Sh. Kal'menov   +1 more
doaj  

A Physics‐Informed Koopman Operator Framework for Decentralized Discrete‐Time Sequential Control of a Modular Aerial Parcel Delivery Robot

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper presents a Physics‐Informed Koopman Operator (PIKO) framework integrated with a discrete‐time Sequential Action Control (SAC) for real‐time, decentralized control of a modular aerial parcel delivery robot composed of multiple independently actuated propeller modules.
Archit Krishna Kamath   +2 more
wiley   +1 more source

Selfadjointness and Positiveness of the Differential Operators Generated by New Type Sturm-Liouville Problems

open access: yesCumhuriyet Science Journal, 2019
It is purpose of this paper to investigateSturm-Liouville equation on many-interval with the eigenvalue parameter appearing linearly in theboundary conditions and with two supplementary transmission conditions.
Hayati Olğar
doaj   +1 more source

ABSOLUTE CONTINUITY FOR UNBOUNDED POSITIVE SELF-ADJOINT OPERATORS

open access: yesKyushu Journal of Mathematics, 2018
Summary: The notion of absolute continuity for positive operators was studied by \textit{T. Ando} [Acta Sci. Math. 38, 253--260 (1976; Zbl 0337.47011)], where parallel sums for such operators played an important role. On the other hand, a theory for parallel sums for densely defined positive self-adjoint operators (or more generally positive forms) was
openaire   +2 more sources

Optimal Control Analysis of Vertically Transmitted Infectious Diseases With Saturated Incidence and Nonlinear Treatment

open access: yesOptimal Control Applications and Methods, EarlyView.
Schematic representation of the proposed disease transmission model incorporating vertical transmission, saturated incidence, and nonlinear treatment. The study combines theoretical analysis, bifurcation and stability investigations, and optimal control techniques to evaluate prevention and treatment interventions.
Oludolapo A. Olanrewaju   +1 more
wiley   +1 more source

Impact of Weak‐Constraint Four‐Dimensional Variational data assimilation on the prediction of a sudden stratospheric warming event in 2024

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
The Weak‐Constraint Four‐Dimensional Variational (WC‐4DVAR) system markedly improved the analysis and forecasting of the 2024 sudden stratospheric warming (SSW) event. It reduced biases and enhanced 7–9 day predictions of temperature across the SSW life cycle, with the most pronounced gains for winds also during the critical onset period.
Shaoying Li   +5 more
wiley   +1 more source

Extension of Jensen's Inequality for Operators without Operator Convexity

open access: yesAbstract and Applied Analysis, 2011
We give an extension of Jensen's inequality for 𝑛-tuples of self-adjoint operators, unital 𝑛-tuples of positive linear mappings, and real-valued continuous convex functions with conditions on the operators' bounds.
Jadranka Mićić   +2 more
doaj   +1 more source

FURTHER RESULTS ON JENSEN-TYPE INEQUALITIES

open access: yesПроблемы анализа, 2019
In this paper, we establish some Jensen-type inequalities for continuous functions of self-adjoint operators on complex Hilbert spaces. Furthermore, using the Cartesian decomposition of an operator, we improve the known result due to Mond and Peˇcari´c.
B. Moosavi   +2 more
doaj   +1 more source

Hierarchical Differentiable Fluid Simulation

open access: yesComputer Graphics Forum, EarlyView.
We introduce a two‐step algorithm that significantly reduces memory usage for solving control problems using differentiable fluid simulation techniques: our method first optimizes for bulk forces at reduced resolution, then refines local details over sub‐domains while maintaining differentiability. In trading runtime for memory, it enables optimization
Xiangyu Kong   +4 more
wiley   +1 more source

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