Results 101 to 110 of about 3,476 (289)

Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]

Bound Value Probl, 2023
Li C.
europepmc   +1 more source

Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

We prove the global existence and blow-up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition.
Gladkov A., Kavitova T.
core   +1 more source

Spikes for the two-dimensional Gierer-Meinhardt system: The weak coupling case

, 2001
In this paper, we rigorously prove the existence and stability of multiple-peaked patterns for the singularly perturbed Gierer-Meinhardt system in a two dimensional domain which are far from spatial homogeneity.
Winter, M, Wei, J
core   +1 more source

Boundary fluxes for nonlocal diffusion [PDF]

, 2007
We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation.
Elgueta, Manuel, Noemi Wolanski, Cortazar, Carmen, Rossi, J.D., Wolanski, Noemi, Rossi, Julio Daniel, Julio D. Rossi, Wolanski, Noemi Irene, Rossi, Julio D., Manuel Elgueta, Carmen Cortazar, Elgueta, M., Wolanski, N., Cortazar, C.   +13 more
core   +1 more source

The Future of Foundation Machine Learning Potentials and DFT in Homogeneous Catalysis: Competition or Synergy?

Chemistry – A European Journal, EarlyView.
Machine‐learning potentials are increasingly taking on the exploratory tasks of homogeneous catalysis, enabling rapid conformer sampling and reaction‐space mapping. However, when selectivity depends on subtle electronic effects, electronic‐structure methods remain essential.
Maxime Ferrer, Julen Munarriz, Thijs Stuyver, Ruben Laplaza   +3 more
wiley   +1 more source

Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]

BMC Res Notes, 2023
Wondimu GM, Woldaregay MM, Duressa GF, Dinka TG.   +3 more
europepmc   +1 more source

Effects of topological boundary conditions on Bell nonlocality

Physical Review A
Bell nonlocality is the resource that enables device-independent quantum information processing tasks. It is revealed through the violation of so-called Bell inequalities, indicating that the observed correlations cannot be reproduced by any local hidden variable model.
Emonts, Patrick, Hu, Mengyao, Aloy, Albert, Tura, Jordi   +3 more
openaire   +3 more sources

Green functions for stationary problems with nonlocal boundary conditions

Lietuvos matematikos rinkinys, 2008
In this paper the Green functions for various stationary problems with nonlocal boundary conditions areinvestigated.We compare Green functions properties for classical boundary conditions with properties ofGreen functions for problems with nonlocal boundary conditions. Few examples iliustrate such properties.
Svetlana Roman, Artūras Štikonas
openaire   +3 more sources

Nitrogen‐Site Isomerism Unlocks Exciton Dissociation in Vinylene‐Linked COF‐Based Photocatalysts

EcoEnergy, EarlyView.
Two regioisomeric vinylene‐linked covalent organic frameworks (COFs) constructed from diazine units with different nitrogen positions are developed for photocatalytic hydrogen evolution reaction (HER). Although structurally similar, the isomeric COFs exhibit distinct electron distribution and charge‐separation behaviors, leading to a more than twofold ...
Ming Wang, Zhongliang Wen, Chengbo Zhang, Wei Wang, Yaling Li, Xiaofang Su, Rached Ousji, Yanqiong Luo, Muhammad Imran Anwar, Rengui Li, Yanan Gao   +10 more
wiley   +1 more source

On Nonlinear Parabolic Equations with Nonlocal Boundary Condition

Journal of Mathematical Analysis and Applications, 1994
Let \(\emptyset \neq \Omega \subset \mathbb{R}^ n\) be a bounded domain with \(C^ 2\)-boundary and \(T > 0\). Of concern is the semilinear second order initial-boundary value problem \[ \begin{alignedat}{2} \partial_ tu(t,x) - A(t)u(t,x) & = f \bigl( t,x,u(t,x) \bigr), &\qquad (t,x) &\in (0,T) \times \Omega, \\ u(t,x) & = \int_ \Omega \Phi (x,y) u(t,y)
openaire   +1 more source