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Analysis of a fractional eigenvalue problem involving Atangana-Baleanu fractional derivative: A maximum principle and applications.

Chaos, 2019
In this paper, we study linear and nonlinear fractional eigenvalue problems involving the Atangana-Baleanu fractional derivative of the order ...
M. Al-Refai, M. Hajji
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ON THE MAXIMUM PRINCIPLE FOR NONLINEAR PARABOLIC AND ELLIPTIC EQUATIONS

Mathematics of the USSR-Izvestiya, 1979
A maximum principle in Sobolev spaces is proved for nonlinear elliptic and parabolic equations. The proof is based on estimates for the maximum of the solutions of a parabolic equation with measurable coefficients, in terms of the norm of the right side. The results of the paper are analogous to results of A. D.
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Maximum principle in nonlinear optimal stochastic singular control problems

2007 European Control Conference (ECC), 2007
In this paper, necessary conditions of optimality, in the form of a maximum principle, are obtained for singular stochastic control problems. This maximum principle is derived for a state process satisfying a general stochastic differential equation where the coefficient associated to the control process can be dependent on the state.
Francois Dufour, Boris Miller
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On the strong maximum principle

Complex Variables and Elliptic Equations, 2019
In this paper we study the strong maximum principle for equations of the form where is either a fully nonlinear elliptic operator or is the p-Laplace operator.
Ahmed Mohammed, A. Vitolo
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Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator

Mathematical methods in the applied sciences, 2019
The purpose of the current study is to investigate IBVP for spatial‐time fractional differential equation with Hadamard fractional derivative and fractional Laplace operator(−Δ)β. A new Hadamard fractional extremum principle is established.
Guotao Wang, Xueyan Ren, D. Baleanu
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Maximum principles for discrete-time nonlinear stochastic control systems

Optimization, 1993
In this paper we treat discrete-time stochastic control systems. Using corresponding results for systems, which are linear with respect to the state variables, we derive under convexity assumptions optimality conditions in form of maximum ...
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Maximum Principles for a Class of Nonlinear Elliptic Boundary Value Problems

Acta Mathematicae Applicatae Sinica, English Series, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Juntang   +2 more
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Comparing linear and nonlinear hydrodynamical models for charge transport in graphene based on the Maximum Entropy Principle

International Journal of Non-Linear Mechanics, 2018
Two hydrodynamical models for charge transport in graphene are presented. They are deduced as moment equations of the semiclassical Boltzmann equation with the needed closure relations obtained by resorting to the Maximum Entropy (Principle Jaynes, 1957;
Liliana Luca, V. Romano
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A Finite Volume Scheme Preserving Maximum Principle for the System of Radiation Diffusion Equations with Three-Temperature

SIAM Journal on Scientific Computing, 2019
We propose a cell-centered nonlinear finite volume scheme for the nonequilibrium three-temperature equations, where both the Dirichlet and Neumann boundary conditions are considered, and prove that...
Yunlong Yu, Xingding Chen, G. Yuan
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