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Optoelectronic and Excitonic Study of XI<sub>2</sub> (X = Si, Ge, Sn, and Pb) Monolayers Envisaging Potential Technological Applications. [PDF]
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Mixed local-nonlocal operators: maximum principles, eigenvalue problems and their applications
Journal d'Analyse Mathematique, 2021In this article we consider a class of non-degenerate elliptic operators obtained by superpositioning the Laplacian and a general nonlocal operator. We study the existence-uniqueness results for Dirichlet boundary value problems, maximum principles and ...
A. Biswas, Mitesh Modasiya
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Effective maximum principles for spectral methods
Annals of Applied Mathematics, 2021Many physical problems such as Allen-Cahn flows have natural maximum principles which yield strong point-wise control of the physical solutions in terms of the boundary data, the initial conditions and the operator coefficients.
Dong Li
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Annali di Matematica Pura ed Applicata, 2020
In this paper, we establish various maximum principles and develop the method of moving planes for equations involving the uniformly elliptic nonlocal Bellman operator. As a consequence, we derive multiple applications of these maximum principles and the
Wei Dai, Guolin Qin
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In this paper, we establish various maximum principles and develop the method of moving planes for equations involving the uniformly elliptic nonlocal Bellman operator. As a consequence, we derive multiple applications of these maximum principles and the
Wei Dai, Guolin Qin
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Local infimum and a family of maximum principles in optimal control
Sbornik: Mathematics, 2020The notion of a local infimum for the optimal control problem, which generalizes the notion of an optimal trajectory, is introduced. For a local infimum the existence theorem is proved and necessary conditions in the form of a family of ‘maximum ...
E. R. Avakov, G. Magaril-Il'yaev
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Some local maximum principles along Ricci flows
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2020In this work, we obtain a local maximum principle along the Ricci flow $g(t)$ under the condition that $\mathrm {Ric}(g(t))\le {\alpha } t^{-1}$ for $t>0$ for some constant ${\alpha }>0$ .
Man-Chun Lee, Luen-Fai Tam
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Mathematische Operationsforschung und Statistik. Series Optimization, 1979
A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
Gabasov, R., Kirillova, F.
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A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
Gabasov, R., Kirillova, F.
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