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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Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation [PDF]
SIAM Journal on Numerical Analysis, 2019 The nonlocal Allen--Cahn equation, a generalization of the classic Allen--Cahn equation by replacing the Laplacian with a parameterized nonlocal diffusion operator, satisfies the maximum principle ...
Q. Du, L. Ju, Xiao Li, Zhonghua Qiao
semanticscholar +3 more sources
Mean-Field Pontryagin Maximum Principle [PDF]
Journal of Optimization Theory and Applications, 2015 We derive a maximum principle for optimal control problems with constraints given by the coupling of a system of ordinary differential equations and a partial differential equation of Vlasov type with smooth interaction kernel.
M. Bongini +3 more
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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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Quantum collapse rules from the maximum relative entropy principle [PDF]
New Journal of Physics, 2016 We show that the von Neumann–Lüders collapse rules in quantum mechanics always select the unique state that maximises the quantum relative entropy with respect to the premeasurement state, subject to the constraint that the postmeasurement state has to ...
Frank Hellmann +2 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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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
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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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A maximum principle related to volume growth and applications [PDF]
Annali di Matematica Pura ed Applicata, 2020 In this paper, we derive a new form of maximum principle for smooth functions on a complete noncompact Riemannian manifold M for which there exists a bounded vector field X such that ⟨∇f,X⟩≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
L. Alías, A. Caminha, F. Nascimento
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