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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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Lagrangian submanifolds generated by the Maximum Entropy principle [PDF]
Entropy, 2005 We show that the Maximum Entropy principle (E.T. Jaynes, [8]) has a natural description in terms of Morse Families of a Lagrangian submanifold. This geometric approach becomes useful when dealing with the M.E.P. with nonlinear constraints.
Marco Favretti
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A parabolic analogue of Finn's maximum principle [PDF]
Abstract and Applied Analysis, 1998 We obtain a parabolic analogue of the well-known maximum principle established by R. Finn for solutions of the minimal surface equation.
Vasyl V. Kurta
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Timeless Histories: Quantum Measurement and the Maximum Entropy Principle [PDF]
EntropyThe quantum measurement problem, i.e., the apparent conflict between unitary quantum evolution and non-unitary, stochastic wave-function collapse, remains unresolved a century after the formulation of quantum mechanics.
Alexei V. Tkachenko
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The Maximum Entropy Production Principle and Linear Irreversible Processes [PDF]
Entropy, 2010 It is shown that Onsager’s principle of the least dissipation of energy is equivalent to the maximum entropy production principle. It is known that solutions of the linearized Boltzmann equation make extrema of entropy production.
Milan Brumen +5 more
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The maximum entropy principle for compositional data
BMC Bioinformatics, 2022 Background Compositional systems, represented as parts of some whole, are ubiquitous. They encompass the abundances of proteins in a cell, the distribution of organisms in nature, and the stoichiometry of the most basic chemical reactions.
Corey Weistuch +3 more
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Pontryagin Maximum Principle for Distributed-Order Fractional Systems
Mathematics, 2021 We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontryagin type.
Faïçal Ndaïrou, Delfim F. M. Torres
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The Maximum Entropy Production Principle: Its Theoretical Foundations and Applications to the Earth System [PDF]
, 2010 The Maximum Entropy Production (MEP) principle has been remarkably successful in producing accurate predictions for non-equilibrium states. We argue that this is because the MEP principle is an effective inference procedure that produces the best ...
Dyke, J. G., Kleidon, A.
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Abolishing the maximum tension principle
Physics Letters B, 2015 We find the series of example theories for which the relativistic limit of maximum tension Fmax=c4/4G represented by the entropic force can be abolished.
Mariusz P. Da̧browski, H. Gohar
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Sufficient Stochastic Maximum Principle in a Regime-Switching Diffusion Model [PDF]
, 2011 We prove a sufficient stochastic maximum principle for the optimal control of a regime-switching diffusion model. We show the connection to dynamic programming and we apply the result to a quadratic loss minimization problem, which can be used to solve a
Catherine Donnelly, Donnelly, Catherine
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