Results 21 to 30 of about 96,434 (313)
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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Mathematics, 2022 In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu +3 more
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A nonlocal problem for loaded partial differential equations of fourth order
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
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Journal of Mathematics, 2022 Nonlocal contact problem for two-dimensional linear elliptic equations is stated and investigated. The method of separation of variables is used to find the solution of a stated problem in the case of Poisson’s equation.
Tinatin Davitashvili +3 more
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ON SOME NONLOCAL VARIATIONAL PROBLEMS [PDF]
Analysis and Applications, 2006 We study uniqueness and non uniqueness of minimizers of functionals involving nonlocal quantities. We give also conditions which lead to a lack of minimizers and we show how minimization on an infinite dimensional space reduces here to a minimization on ℝ. Among other things, we prove that uniqueness of minimizers of functionals of the form ∫Ω a(∫Ω gu
Chipot, M, Gangbo, W, Kawohl, B
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A Nonlocal Free Boundary Problem [PDF]
SIAM Journal on Mathematical Analysis, 2015 Given~$s, \in(0,1)$ and a bounded domain~$ \subset\R^n$, we consider the following minimization problem of $s$-Dirichlet plus $ $-perimeter type $$ [u]_{ H^s(\R^{2n}\setminus( ^c)^2) } + \Per_ \left(\{u>0\}, \right), $$ where~$[ \cdot]_{H^s}$ is the fractional Gagliardo seminorm and $\Per_ $ is the fractional perimeter.
S. Dipierro, O. Savin, E. Valdinoci
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Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper we consider one class of spectral problems for a nonlocal ordinary differential operator (with involution in the main part) with nonlocal boundary conditions of periodic type.
G. Dildabek +2 more
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A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS [PDF]
Mathematical Models and Methods in Applied Sciences, 2013 A vector calculus for nonlocal operators is developed, including the definition of nonlocal divergence, gradient, and curl operators and the derivation of the corresponding adjoint operators. Nonlocal analogs of several theorems and identities of the vector calculus for differential operators are also presented.
Du, Qiang +3 more
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Nonlocal boundary value problems [PDF]
Boundary Value Problems, 2012 In the last decades, nonlocal boundary value problems have become a rapidly growing area of research. The study of this type of problems is driven not only by a theoretical interest, but also by the fact that several phenomena in engineering, physics and life sciences can be modelled in this way. For example, problems with feedback controls such as the
Franco D, INFANTE, GENNARO, Minhos FM
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A remark on elliptic differential equations on manifold
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 For elliptic boundary value problems of nonlocal type in Euclidean space, the well posedness has been studied by several authors and it has been well understood. On the other hand, such kind of problems on manifolds have not been studied yet.
A. Ashyralyev, Y. Sozen, F. Hezenci
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