Results 1 to 10 of about 5,003,645 (342)
Maximum principles for nonlocal parabolic Waldenfels operators [PDF]
Bulletin 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
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Maximum principles and related problems for a class of nonlocal extremal operators [PDF]
Annali di Matematica Pura ed Applicata, 2022 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.
Isabeau Birindelli +2 more
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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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Mixed local and nonlocal elliptic operators: regularity and maximum principles [PDF]
Communications in Partial Differential Equations, 2021 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
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Maximum principles for parabolic systems coupled in both first-order and zero-order terms [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 Some generalized maximum principles are established for linear second-order parabolic systems in which both first-order and zero-order terms are coupled.
Chiping Zhou
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Maximum principles for time-fractional Caputo-Katugampola diffusion equations
, 2017 Maximum and minimum principles for time-fractional Caputo-Katugampola diffusion operators are proposed in this paper. Several inequalities are proved at extreme points.
Liang Cao, Hua Kong, Shengda Zeng
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Well-posedness and maximum principles for lattice reaction-diffusion equations
Advances 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
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Advances 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
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Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation
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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Maximum principles for the fractional p-Laplacian and symmetry of solutions [PDF]
Advances in Mathematics, 2017 Wenxiong Chen, Congming Li
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