Results 41 to 50 of about 8,614,781 (356)
Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
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Green functions for stationary problems with nonlocal boundary conditions
In this paper the Green functions for various stationary problems with nonlocal boundary conditions are investigated.We compare Green functions properties for classical boundary conditions with properties of Green functions for problems with nonlocal ...
Svetlana Roman, Artūras Štikonas
doaj +1 more source
Diffusion with nonlocal boundary conditions
We consider second order differential operators $A_ $ on a bounded, Dirichlet regular set $ \subset \mathbb{R}^d$, subject to the nonlocal boundary conditions \[ u(z) = \int_ u(x)\, (z, dx)\quad \mbox{for } z \in \partial . \] Here the function $ : \partial \to \mathscr{M}^+( )$ is $ (\mathscr{M} ( ), C_b( ))$-continuous with $0\leq (z,
Arendt, Wolfgang +2 more
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Synchrotron Radiation for Quantum Technology
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader +10 more
wiley +1 more source
Relation between nonlocal surface and bulk dark solitons
We investigate the existence and stability of nonlocal surface dark solitons at the interface formed by a nonlocal nonlinear self-defocusing medium and a linear medium.
Xinghui Gao, Chengyun Zhang, Qing Wang
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Charge carrier concentration and mobility in TiO2, ZrO2, and HfO2 powder films are experimentally mapped as a function of temperature. The results uncover polaron‐mediated transport regimes and field‐activated conduction, enabling the design of oxide‐based electronic and energy devices with thermally tunable functionality.
Beatriz Moura Gomes +3 more
wiley +1 more source
Spectrally Tunable 2D Material‐Based Infrared Photodetectors for Intelligent Optoelectronics
Intelligent optoelectronics through spectral engineering of 2D material‐based infrared photodetectors. Abstract The evolution of intelligent optoelectronic systems is driven by artificial intelligence (AI). However, their practical realization hinges on the ability to dynamically capture and process optical signals across a broad infrared (IR) spectrum.
Junheon Ha +18 more
wiley +1 more source
Static analysis of thin-walled beams using two-phase local-nonlocal integral model
A mathematical model is developed for static analysis of small-scale thinwalled beams having arbitrary cross sections. Constitutive relations of the thin-walled beams are defined upon the two-phase local-nonlocal mixture model with integral formulation ...
M.G. Günay
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Switchable Thermal Mid‐IR Conducting Polymer Antenna Arrays
This study presents switchable mid‐infrared plasmonic resonances in PEDOT antenna arrays. Their optical extinction peaks can be reversibly switched ‘OFF’ and ‘ON’ by tuning the polaronic charge carrier concentration via the polymer's redox state, offering modulation of optical responses in the thermal mid‐infrared range including around 10 µm ...
Pravallika Bandaru +5 more
wiley +1 more source
On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions [PDF]
Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper.
Rakhmonov, Zafar R., Urunbayev, Jasur E.
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