Results 11 to 20 of about 79,013 (272)
Variational Theory and Domain Decomposition for Nonlocal Problems [PDF]
Applied Mathematics and Computation, 2011 In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish the well-posedness of associated boundary value problems, proving a ...
Aksoylu, Burak, Parks, Michael L.
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Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
Results in Applied Mathematics, 2021 We present an optimization-based coupling method for local and nonlocal continuum models. Our approach couches the coupling of the models into a control problem where the states are the solutions of the nonlocal and local equations, the objective is to ...
Marta D’Elia, Pavel Bochev
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A third‐order nonlocal problem with nonlocal conditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We study an equation with dominated lower‐order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed‐point theorem, we prove the existence and uniqueness of a generalized solution.
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Recovering differential operators with nonlocal boundary conditions [PDF]
Analysis and Mathematical Physics, 2015 Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Yurko, Vjacheslav Anatoljevich +1 more
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A unified existence theory for evolution equations and systems under nonlocal conditions [PDF]
, 2014 We investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional-differential equations in a Banach space. A progressive transition from the
Cardinali, Tiziana +2 more
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Characteristics of off-waist incident anomalous vortex beams in highly nonlocal media
Results in Physics, 2017 In this paper, we focus on the effect of the off-waist incident condition on the propagation characteristics of anomalous vortex beams (AVBs) in nonlocal media. An expression is derived mathematically in order to describe the propagation dynamics of AVBs
Zhen-Feng Yang
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Conditions for logical contextuality and nonlocality [PDF]
Physical Review A, 2021 Contextuality and nonlocality are nonclassical properties exhibited by quantum statistics whose implications profoundly impact both the foundations and applications of quantum theory. In this paper we provide some insights into logical contextuality and inequality-free proofs.
Leonardo Santos, Barbara Amaral
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Is a nonlocal diffusion strategy convenient for biological populations in competition? [PDF]
, 2015 We study the convenience of a nonlocal dispersal strategy in a reaction-diffusion system with a fractional Laplacian operator. We show that there are circumstances - namely, a precise condition on the distribution of the resource - under which a nonlocal
Massaccesi, Annalisa, Valdinoci, Enrico
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STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS
Mathematical Modelling and Analysis, 2001 In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated. Stability estimates are proved in the maximum norm and the non‐negativity of the solution is investigated.
Čiegis, R. +3 more
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Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]
, 2010 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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