Results 91 to 100 of about 3,412 (247)

Blow-up analysis for a semilinear parabolic equation with nonlinear memory and nonlocal nonlinear boundary condition [PDF]

, 2010
In this paper, we consider a semilinear parabolic equation $$u_t=\Delta u+u^q\int_0^tu^p(x,s)ds,\quad x\in \Omega,\quad t>0$$ with nonlocal nonlinear boundary condition $u|_{\partial\Omega\times(0,+\infty)}=\int_\Omega\varphi(x,y) u^l(y,t)dy$ and ...
Liu, Dengming, Dengming Liu, Mu, Chunlai, Chunlai Mu   +3 more
core   +1 more source

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +1 more source

Oleı̆nik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit [PDF]

, 2023
We consider a class of nonlocal conservation laws with exponential kernel and prove that quantities involving the nonlocal term $W:=\mathbb{1}_{(-\infty,0]}(\cdot)\exp(\cdot) \ast \rho$ satisfy an Oleı̆nik-type entropy condition.
Crippa, Gianluca, Coclite, Giuseppe Maria, De Nitti, Nicola, Pflug, Lukas, Spinolo, Laura V., Keimer, Alexander, Marconi, Elio, Colombo, Maria   +7 more
core  

Quantization of Polaritons Confined in Dielectric Structures

Laser &Photonics Reviews, EarlyView.
This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani, Dogyun Ko, Maciej Dems, Andrzej Opala, Michał Matuszewski   +4 more
wiley   +1 more source

Existence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions

Abstract and Applied Analysis, 2012
Using Hausdorff measure of noncompactness and a fixed‐point argument we prove the existence of mild solutions for the semilinear integrodifferential equation subject to nonlocal initial conditions , t ∈ [0,1], u(0) = g(u), where A : D(A)⊆X → X, and for every t ∈ [0,1] the maps B(t) : D(B(t))⊆X → X are linear closed operators defined in a Banach space ...
Lizama, Carlos, Pozo, Juan C.
openaire   +6 more sources

Efficient and Tunable Narrowband Second‐Harmonic Generation by a Large‐Area Etchless Lithium Niobate Metasurface

Laser &Photonics Reviews, EarlyView.
An etchless lithium niobate (LN) metasurface with a slanted periodic TiO2 grating enables efficient and narrowband second‐harmonic generation (SHG) thanks to the light confinement in the LN film granted by quasi‐bound‐state‐in‐the‐continuum (q‐BIC) modes.
Yaping Hou, Yigong Luan, Yu Fan, Alfonso Nardi, Attilio Zilli, Bobo Du, Jinyou Shao, Marco Finazzi, Chunhui Wang, Lei Zhang, Michele Celebrano   +10 more
wiley   +1 more source

Parallel numerical algorithms for 3D parabolic problem with nonlocal boundary condition [PDF]

, 2006
Three parallel algorithms for solving the 3D problem with nonlocal boundary condition are considered. The forward and backward Euler finite-difference schemes, and LOD scheme are typical representatives of three general classes of parallel algorithms ...
Čiegis, Raimondas
core  

Nonlocal evolution inclusions under weak conditions

Advances in Difference Equations, 2018
We study evolution inclusions given by multivalued perturbations of m-dissipative operators with nonlocal initial conditions. We prove the existence of solutions.
Shamas Bilal, Ovidiu Cârjă, Tzanko Donchev, Nasir Javaid, Alina I. Lazu   +4 more
doaj   +1 more source

Nonlocal active sound control for composite regions

Mathematical Methods in the Applied Sciences, EarlyView.
In the active sound control problem, additional sound sources, known as control sources, are implemented at the perimeter of a protected domain. The control sources can generate secondary sound inside the shielded domain, which attenuates incoming noise. This leads to an inverse source problem.
Nan Hu, Sergey Utyuzhnikov
wiley   +1 more source

Exact controllability for nonlocal semilinear differential inclusions

Bruno Pini Mathematical Analysis Seminar
In this paper, we investigate the controllability of a class of semilinear differential inclusions in Hilbert spaces. Assuming the exact controllability of the associated linear problem, we establish sufficient conditions for achieving the exact ...
Irene Benedetti, Angelica Palazzoni
doaj   +1 more source