Results 11 to 20 of about 13,234 (254)
The Nonlocal Almgren Problem [PDF]
MathematicsIn the nonlocal Almgren problem, the goal is to investigate the convexity of a minimizer under a mass constraint via a nonlocal free energy generated with a nonlocal perimeter and convex potential.
Emanuel Indrei
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Remarks on the Nonlocal Dirichlet Problem [PDF]
Potential Analysis, 2020 AbstractWe study translation-invariant integrodifferential operators that generate Lévy processes. First, we investigate different notions of what a solution to a nonlocal Dirichlet problem is and we provide the classical representation formula for distributional solutions.
Grzywny, Tomasz +2 more
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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.
Lazhar Bougoffa
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The nonlocal Neumann problem [PDF]
, 2023 Instead of presuming only local interaction, we assume nonlocal interactions. By doing so, mass at a point in space does not only interact with an arbitrarily small neighborhood surrounding it, but it can also interact with mass somewhere far, far away. Thus, mass jumping from one point to another is also a possibility we can consider in our models. So,
Vu, Michael
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An Eigenvalue Problem for Nonlocal Equations [PDF]
Bruno Pini Mathematical Analysis Seminar, 2016 Bruno Pini Mathematical Analysis Seminar, Seminars ...
Molica Bisci, Giovanni +1 more
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A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations [PDF]
Journal of Applied Mathematics, 2012 This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness
Fang Li +3 more
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Nonlocal Parabolic Problem with Degeneration [PDF]
Ukrainian Mathematical Journal, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Isaryuk, I. M., Pukal's'kyi, I. D.
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Qualitative Aspects in Nonlocal Dynamics [PDF]
, 2023 In this paper, we investigate, through numerical studies, the dynamical evolutions encoded in a linear one-dimensional nonlocal equation arising in peridynamics.
Dipierro S. +5 more
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A Nonlocal Free Boundary Problem [PDF]
SIAM Journal on Mathematical Analysis, 2015 Given~$s,σ\in(0,1)$ and a bounded domain~$Ω\subset\R^n$, we consider the following minimization problem of $s$-Dirichlet plus $σ$-perimeter type $$ [u]_{ H^s(\R^{2n}\setminus(Ω^c)^2) } + \Per_σ\left(\{u>0\},Ω\right), $$ where~$[ \cdot]_{H^s}$ is the fractional Gagliardo seminorm and $\Per_σ$ is the fractional perimeter. Among other results, we prove
S. Dipierro, O. Savin, E. Valdinoci
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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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