Remarks relevant to classical maximum principles [PDF]
Journal of Applied Mathematics, 2005 We extend, sharpen, or give independent proofs of classical maximum principles. We also concentrate on maximum principles for equations of higher order. All proofs (except for one) are derived via comparison principles.
Cristian-Paul Danet
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Maximum principles for viscosity solutions of weakly elliptic equations [PDF]
Bruno Pini Mathematical Analysis Seminar, 2019 Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
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On maximum-entropy and related principles in statistical equilibrium [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 The paper aims to study the importance and equivalence of the principles of maximum-entropy, and sufficient and stable inferences in the statistical characterization of the thermal equilibrium of a closed system.
C. G. Chakrabarti, V. Mukhopadhyay
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Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation [PDF]
Discrete Dynamics in Nature and Society, 2015 We study reaction-diffusion equations with a general reaction function f on one-dimensional lattices with continuous or discrete time ux′ (or Δtux)=k(ux-1-2ux+ux+1)+f(ux), x∈Z.
Petr Stehlík, Jonáš Volek
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Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals [PDF]
Opuscula Mathematica, 2009 The aim of the paper is to give strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals in relatively arbitrary \((n+1)\)-dimensional time-space sets more general than the ...
Ludwik Byszewski
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Maximum principles and Bôcher type theorems. [PDF]
Proc Natl Acad Sci U S A, 2018 Significance The Bôcher theorem for fractional Laplacian extends the classical Bôcher theorem with a unified proof that can be adapted in other situations.
Li C, Wu Z, Xu H.
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Maximum and anti-maximum principles for the p-Laplacian with a nonlinear boundary condition
Electronic Journal of Differential Equations, 2006 In this paper we study the maximum and the anti-maximum principles for the problem $Delta _{p}u=|u|^{p-2}u$ in the bounded smooth domain $Omega subset mathbb{R}^{N}$, with $|abla u|^{p-2}frac{partial u}{partial u }=lambda |u|^{p-2}u+h$ as a non linear ...
Aomar Anane, Omar Chakrone, Najat Moradi
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Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations [PDF]
Journal of Inequalities and Applications, 2009 We obtain the maximum principles for the first-order neutral functional differential equation where , and are linear continuous operators, and are positive operators, is the space of continuous functions, and is the space of essentially ...
Domoshnitsky Alexander +2 more
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An operator theoretic approach to uniform (anti-)maximum principles [PDF]
, 2021 Maximum principles and uniform anti-maximum principles are a ubiquitous topic in PDE theory that is closely tied to the Krein--Rutman theorem and kernel estimates for resolvents.
Glück, Jochen +3 more
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Long-term behaviour of operator semigroups and (anti-)maximum principles [PDF]
, 2023 Combining an idea of Takáč with the techniques of Daners, Glück, and Kennedy, we investigate individual and uniform (anti-)maximum principles, thereby shedding new light on the (current) limited theory.
Arora, Sahiba
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