Results 61 to 70 of about 91,889 (335)
Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
AbstractIn this paper we investigate the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. A distinctive feature of this type of boundary and initial conditions is that the parabolic equation may possess multiple solutions even if the reaction ...
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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
Nullspace of the m-th order discrete problem with nonlocal conditions
In this paper, we obtain the representation of the nullspace for m-th order discrete linear problems with nonlocal conditions. An example is given. The research was partially supported by the Research Council of Lithuania (grant No. MIP-047/2014).
Gailė Paukštaitė, Artūras Štikonas
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Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]
We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire+15 more
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Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman+3 more
wiley +1 more source
In this paper, generalized Green’s functions for second-order discrete boundaryvalue problems with nonlocal boundary conditions are investigated, where the necessary and sufficient existence condition of discrete Green’s function is not satisfied and ...
Gailė Paukštaitė, Artūras Štikonas
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Conditioning and error analysis of nonlocal operators with local boundary conditions
TUBITAK (MFAG 115F473); European Commission Marie Curie Career Integration 293978; United States Department of Energy (DOE) 1120-1120 ...
Adem Kaya, Burak Aksoylu, Burak Aksoylu
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This study presents a scalable approach to enhancing bulk scintillators using nanoplasmonics. By integrating 100‐nm silver nanoparticles with perovskite scintillator nanocrystals in a polymer matrix, significant improvements in light yield and decay rates via the Purcell effect are achieved.
Michal Makowski+16 more
wiley +1 more source
Linear ODE with nonlocal boundary conditions and Green’s functions for such problems
In this article we investigate a formula for the Green’s function for the n-order linear differential equation with n additional conditions. We use this formula for calculating the Green’s function for problems with nonlocal boundary conditions.
Svetlana Roman, Artūras Štikonas
doaj +1 more source
Generalized solutions of nonlocal elliptic problems [PDF]
An elliptic equation of order $2m$ with general nonlocal boundary-value conditions, in a plane bounded domain $G$ with piecewise smooth boundary, is considered. Generalized solutions belonging to the Sobolev space $W_2^m(G)$ are studied.
Gurevich, Pavel
core