Results 1 to 10 of about 7,463,391 (204)

Maximum principles for nonlocal parabolic Waldenfels operators [PDF]

open access: yesBulletin of Mathematical Sciences, 2019
As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructing Markov processes with boundary conditions (in particular the ...
Qiao Huang, Jinqiao Duan, Jiang-Lun Wu
doaj   +7 more sources

Maximum principles and Bôcher type theorems. [PDF]

open access: yesProc 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.
europepmc   +2 more sources

Maximum Principles in Analytical Economics [PDF]

open access: yesSynthese, 1971
Lecture to the memory of Alfred Nobel, December 11, 1970general equilibrium;
Samuelson, Paul A.
core   +4 more sources

Well-posedness and maximum principles for lattice reaction-diffusion equations

open access: yesAdvances in Nonlinear Analysis, 2017
Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín   +2 more
doaj   +2 more sources

Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations

open access: yesAdvances in Nonlinear Analysis, 2016
This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne (see the book of Sperb [18]).
Barbu Luminita, Enache Cristian
doaj   +2 more sources

Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation

open access: yesDiscrete 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
doaj   +2 more sources

Maximum principles and related problems for a class of nonlocal extremal operators [PDF]

open access: yesAnnali di Matematica Pura ed Applicata, 2021
We study the validity of the comparison and maximum principles and their relation with principal eigenvalues, for a class of degenerate nonlinear operators that are extremal among operators with one-dimensional fractional diffusion.
I. Birindelli, G. Galise, Delia Schiera
semanticscholar   +1 more source

An operator theoretic approach to uniform (anti-)maximum principles [PDF]

open access: yesJournal of Differential Equations, 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.
Sahiba Arora, Jochen Glück
semanticscholar   +1 more source

Maximum principles, Liouville theorem and symmetry results for the fractional $g-$Laplacian [PDF]

open access: yes, 2021
We study different maximum principles for non-local non-linear operators with non-standard growth that arise naturally in the context of fractional Orlicz-Sobolev spaces and whose most notable representative is the fractional $g-$Laplacian: \[ (-\Delta_g)
Sandra M. Molina, A. Salort, H. Vivas
semanticscholar   +1 more source

Mixed local and nonlocal elliptic operators: regularity and maximum principles [PDF]

open access: yesCommunications in Partial Differential Equations, 2020
We develop a systematic study of the superpositions of elliptic operators with different orders, mixing classical and fractional scenarios. For concreteness, we focus on the sum of the Laplacian and the fractional Laplacian, and we provide structural ...
Stefano Biagi   +3 more
semanticscholar   +1 more source

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