Stability for the Calderón’s problem for a class of anisotropic conductivities via an ad-hoc misfit functional

2021 ◽  
Author(s):  
Sonia Foschiatti ◽  
Romina Gaburro ◽  
Eva Sincich
Keyword(s):  
Lipschitz Domain ◽  
Special Class ◽  
Ad Hoc ◽  
Scalar Function ◽  
Lipschitz Continuous ◽  
Piecewise Affine ◽  
Stability Issue ◽  
The Stability ◽  
Dirichlet To Neumann Map

Abstract We address the stability issue in Calderón’s problem for a special class of anisotropic conductivities of the form σ=γA in a Lipschitz domain Ω⊆R<n>, n≧3, when A is a known Lipschitz continuous matrix-valued function and γ is the unknown piecewise affine scalar function on a given partition of Ω. We define an ad-hoc misfit functional encoding our data and establish estimates for this class of anisotropic conductivities in terms of both the misfit functional and the more commonly used local Dirichlet-to-Neumann map.

Armor-Like Passivated CsPbBr3 Quantum Dots: Boosted Stability with Hand-in-Hand Ligands and Enhanced Performance of Nuclear Battery

2021 ◽  
Author(s):  
Haibo Zeng ◽  
Dandan Yang ◽  
Zhiheng Xu ◽  
Chunhui Gong ◽  
Xiaoming Li ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Inorganic Perovskite ◽  
Surface Ligands ◽  
Perovskite Quantum Dots ◽  
Stability Issue ◽  
The Stability ◽  
Nuclear Battery ◽  
Cspbbr3 Quantum Dots

One of the main reasons for the stability issue of inorganic perovskite quantum dots (PQDs) is the fragile protection of surface ligands. Here, an armor-like passivation strategy is proposed to...

Stabilization of networked switched affine systems with event-triggered strategy

2021 ◽  
pp. 014233122110213
Author(s):  
Dandan Li ◽  
Zhiqiang Zuo ◽  
Yijing Wang
Keyword(s):  
Affine Systems ◽  
Switching Law ◽  
Event Time ◽  
Sliding Motion ◽  
State Dependent ◽  
Event Triggering ◽  
Stability Issue ◽  
The Stability ◽  
Event Based ◽  
Selection Of

Using an event-based switching law, we address the stability issue for continuous-time switched affine systems in the network environment. The state-dependent switching law in terms of the region function is firstly developed. We combine the region function with the event-triggering mechanism to construct the switching law. This can provide more candidates for the selection of the next activated subsystem at each switching instant. As a result, it is possible for us to activate the appropriate subsystem to avoid the sliding motion. The Zeno behavior for the switched affine system can be naturally ruled out by guaranteeing a positive minimum inter-event time between two consecutive executions of the event-triggering threshold. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.

scholarly journals Spectral optimization for the Stekloff–Laplacian: The stability issue

2012 ◽  
Vol 262 (11) ◽  
pp. 4675-4710 ◽  
Author(s):  
Lorenzo Brasco ◽  
Guido De Philippis ◽  
Berardo Ruffini
Keyword(s):  
Stability Issue ◽  
Spectral Optimization ◽  
The Stability

scholarly journals The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Wen-Juan Wang ◽  
Yan Jia
Keyword(s):  
Weak Solution ◽  
Asymptotic Stability ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Perturbed System ◽  
Regular Class ◽  
Stability Issue ◽  
The Stability

We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solutionuof the Navier-Stokes equations lies in the regular class∇u∈Lp(0,∞;Bq,∞0(ℝ3)),(2α/p)+(3/q)=2α,2<q<∞,0<α<1, then every weak solutionv(x,t)of the perturbed system converges asymptotically tou(x,t)asvt-utL2→0,t→∞.

scholarly journals Fabrication of plasmonic dye-sensitized solar cells using ion-implanted photoanodes

RSC Advances ◽  
2019 ◽  
Vol 9 (35) ◽  
pp. 20375-20384 ◽  
Author(s):  
Navdeep Kaur ◽  
Aman Mahajan ◽  
Viplove Bhullar ◽  
Davinder Paul Singh ◽  
Vibha Saxena ◽  
...  
Keyword(s):  
Solar Cells ◽  
Ion Implantation ◽  
Metal Nanoparticles ◽  
Dye Sensitized Solar Cells ◽  
Implantation Technique ◽  
Dye Sensitized ◽  
Stability Issue ◽  
The Stability ◽  
Sensitized Solar Cells ◽  
Ion Implanted

Ion implantation technique can resolve the stability issue of metal nanoparticles with liquid iodine-based electrolyte to improve PCE of plasmonic dye-sensitized solar cells.

Control by Mixed-Chloride Additives of the Quality and Homogeneity of Bulk Halide Perovskite upon Film Formation Process

2021 ◽  
Author(s):  
Thierry Pauporté ◽  
Daming zheng
Keyword(s):  
Solar Cells ◽  
Formation Process ◽  
High Efficiency ◽  
Film Formation ◽  
Perovskite Solar Cells ◽  
X Ray Diffraction ◽  
X Ray ◽  
Stability Issue ◽  
Halide Perovskite ◽  
The Stability

Nowadays, overcoming the stability issue of perovskite solar cells (PSCs) while keeping high efficiency has become an urgent need for the future of this technology. By using x-ray diffraction (XRD),...

Critical Infrastructure Management for Telecommunication Networks

2014 ◽  
Vol 5 (1) ◽  
pp. 1-13
Author(s):  
Haibo Wang ◽  
Bahram Alidaee ◽  
Wei Wang ◽  
Wei Ning
Keyword(s):  
Ad Hoc ◽  
Critical Infrastructure ◽  
Telecommunication Network ◽  
Telecommunication Networks ◽  
Critical Infrastructures ◽  
Infrastructure Management ◽  
Detection Model ◽  
Proposed Model ◽  
The Stability ◽  
Supporting Structures

Telecommunication network infrastructures both stationary and ad hoc, play an important role in maintaining the stability of society worldwide. The protection of these critical infrastructures and their supporting structures become highly challenged due to its complexity. The understanding of interdependency of these infrastructures is the essential step to protect these infrastructures from destruction and attacks. This paper presents a critical infrastructure detection model to discover the interdependency based on the theories from social networks and new telecommunication pathways while this study transforms social theory into computational constructions. The procedure and solution of protecting critical infrastructures are discussed and computational results from the proposed model are presented.

Statistical Inference of Second-Order Cone Programming

2019 ◽  
Vol 36 (02) ◽  
pp. 1940003
Author(s):  
Liwei Zhang ◽  
Shengzhe Gao ◽  
Saoyan Guo
Keyword(s):  
Lipschitz Continuity ◽  
Metric Regularity ◽  
Optimal Solution ◽  
Second Order ◽  
Lipschitz Continuous ◽  
Set Valued Mapping ◽  
Second Order Cone ◽  
Degeneracy Condition ◽  
Optimal Solution Set ◽  
The Stability

In this paper, we study the stability of stochastic second-order programming when the probability measure is perturbed. Under the Lipschitz continuity of the objective function and metric regularity of the feasible set-valued mapping, the outer semicontinuity of the optimal solution set and Lipschitz continuity of optimal values are demonstrated. Moreover, we prove that, if the constraint non-degeneracy condition and strong second-order sufficient condition hold at a local minimum point of the original problem, there exists a Lipschitz continuous solution path satisfying the Karush–Kuhn–Tucker conditions.

scholarly journals An Energy-Balanced Routing Algorithm for ZigBee Audio Guide System in Ad Hoc Social Network

2012 ◽  
Vol 6-7 ◽  
pp. 1177-1182
Author(s):  
Jian Zou ◽  
De Min Li ◽  
Min Zhang
Keyword(s):  
Routing Protocol ◽  
Ad Hoc ◽  
Routing Algorithm ◽  
Network Partitioning ◽  
Rest Energy ◽  
Network Nodes ◽  
Guide System ◽  
The Stability ◽  
Energy Balanced Routing ◽  
Entire Network

In order to avoid the network partitioning and nodes died too early in ZigBee audio guide system, we designed an energy-balanced routing algorithm in this paper, which can manage the rest energy of all network nodes effectively. The simulation results indicate that this algorithm can balance the entire network energy, extend the survival time of the whole network and increase the stability of the system relative to the original routing protocol.

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