A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations
Axioms, 2023 We consider a class of nonlinear integro-differential equations that model degenerate nonlocal diffusion. We investigate whether the strong maximum principle is valid for this nonlocal equation. For degenerate parabolic PDEs, the strong maximum principle
Tucker Hartland, Ravi Shankar
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Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle [PDF]
Advances in Nonlinear Analysis, 2018 In this paper, we study optimal lower and upper bounds for functionals involving the first Dirichlet eigenvalue λF(p,Ω){\lambda_{F}(p,\Omega)} of the anisotropic p-Laplacian ...
Della Pietra Francesco +2 more
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A measure theoretical approach to the mean-field maximum principle for training NeurODEs [PDF]
Nonlinear Analysis, 2021 In this paper we consider a measure-theoretical formulation of the training of NeurODEs in the form of a mean-field optimal control with $L^2$-regularization of the control.
Benoît Bonnet +3 more
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Maximum Principle for Nonlinear Fractional Differential Equations with the Hilfer Derivative
Fractal and Fractional, 2023 In this paper, two significant inequalities for the Hilfer fractional derivative of a function in the space ACγ([0,b],Rn), 0≤γ≤1 are obtained. We first verified the extremum principle for the Hilfer fractional derivative.
Abu Bakr Elbukhari, Zhenbin Fan, Gang Li
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Strong Maximum Principle for Viscosity Solutions of Fully Nonlinear Cooperative Elliptic Systems
Mathematics, 2021 In this paper, we consider the validity of the strong maximum principle for weakly coupled, degenerate and cooperative elliptic systems in a bounded domain.
Georgi Boyadzhiev, Nikolai Kutev
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Fractal and Fractional, 2023 In this paper, we investigate properties of solutions to a space-time fractional variable-order conformable nonlinear differential equation with a generalized tempered fractional Laplace operatorby using the maximum principle. We first establish some new
Tingting Guan, Lihong Zhang
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A Note on the Strong Maximum Principle for Fully Nonlinear Equations on Riemannian Manifolds [PDF]
, 2020 We investigate strong maximum (and minimum) principles for fully nonlinear second-order equations on Riemannian manifolds that are non-totally degenerate and satisfy appropriate scaling conditions.
Alessandro Goffi, Francesco Pediconi
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Optimal paper web weight control system based on the Pontryagin’s maximum principle [PDF]
E3S Web of Conferences, 2021 The paper describes the stages of paper production, considers the structure of a paper-making machine. Questions related to the proof and use of the Pontryagin’s maximum principle in the theory of optimal control are considered.
Lysova Natalia, Myasnikova Nina
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Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions [PDF]
Applied Mathematics Letters, 2018 In this paper, a maximum principle for the one-dimensional sub-diffusion equation with Atangana-Baleanu fractional derivative is formulated and proved.
Meiirkhan Borikhanov +2 more
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Journal of Function Spaces, 2022 The Allen-Cahn model is discussed mainly in the phase field simulation. The compact difference method will be used to numerically approximate the two-dimensional nonlinear Allen-Cahn equation with initial and boundary value conditions, and then, a fully ...
Yu Bo, Dan Tian, Xiao Liu, Yuanfeng Jin
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