A principle of maximum ignorance for semiclassical gravity [PDF]
Journal of High Energy Physics, 2023 The principle of maximum ignorance posits that the coarse-grained description of a system is maximally agnostic about its underlying microscopic structure.
Jan de Boer +3 more
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Improving the Minimum Free Energy Principle to the Maximum Information Efficiency Principle [PDF]
EntropyFriston proposed the Minimum Free Energy Principle (FEP) based on the Variational Bayesian (VB) method. This principle emphasizes that the brain and behavior coordinate with the environment, promoting self-organization. However, it has a theoretical flaw,
Chenguang Lu
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The maximum principle with lack of monotonicity
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We establish a maximum principle for the weighted $(p,q)$-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting.
Patrizia Pucci, Vicenţiu Rădulescu
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Principal eigenvalues for k-Hessian operators by maximum principle methods
Mathematics in Engineering, 2021 For fully nonlinear $k$-Hessian operators on bounded strictly $(k-1)$-convex domains $\Omega$ of $\R^N$, a characterization of the principal eigenvalue associated to a $k$-convex and negative principal eigenfunction will be given as the supremum over ...
Isabeau Birindelli, Kevin R. Payne
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The strong maximum principle for Schrödinger operators on fractals
Demonstratio Mathematica, 2019 We prove a strong maximum principle for Schrödinger operators defined on a class of postcritically finite fractal sets and their blowups without boundary.
Ionescu Marius V. +2 more
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Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control [PDF]
PRX Quantum, 2020 Optimal Control Theory is a powerful mathematical tool, which has known a rapid development since the 1950s, mainly for engineering applications. More recently, it has become a widely used method to improve process performance in quantum technologies by ...
U. Boscain, M. Sigalotti, D. Sugny
semanticscholar +1 more source
On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation [PDF]
SIAM Journal on Numerical Analysis, 2020 In this work, we investigate the two-step backward differentiation formula (BDF2) with nonuniform grids for the Allen-Cahn equation. We show that the nonuniform BDF2 scheme is energy stable under the time-step ratio restriction $r_k:=\tau_k/\tau_{k-1}
Hong-lin Liao, T. Tang, Tao Zhou
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Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations [PDF]
SIAM Journal on Scientific Computing, 2020 A new class of high-order maximum principle preserving numerical methods is proposed for solving parabolic equations, with application to the semilinear Allen--Cahn equation.
Buyang Li, Jiang Yang, Zhi Zhou
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Polyconvex functionals and maximum principle
Mathematics in Engineering, 2023 Let us consider continuous minimizers $ u : \bar \Omega \subset \mathbb{R}^n \to \mathbb{R}^n $ of $ \mathcal{F}(v) = \int_{\Omega} [|Dv|^p \, + \, |{\rm det}\,Dv|^r] dx, $ with $ p > 1 $ and $ r > 0 $; then it is known that every ...
Menita Carozza +3 more
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The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle [PDF]
Systems & Control Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitruk, A. V., Kaganovich, A. M.
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