Results 251 to 260 of about 7,463,510 (319)
Some of the next articles are maybe not open access.
Maximum principles for some quasilinear elliptic systems
Nonlinear Analysis, 2020We give maximum principles for solutions u : Ω → R N to a class of quasilinear elliptic systems whose prototype is − ∑ i = 1 n ∂ ∂ x i ∑ β = 1 N ∑ j = 1 n a i , j α , β x , u ( x ) ∂ u β ∂ x j ( x ) = 0 , x ∈ Ω , where α ∈ { 1 , … , N } is the equation ...
S. Leonardi +4 more
semanticscholar +1 more source
Annali di Matematica Pura ed Applicata, 2020
In this paper, we establish various maximum principles and develop the method of moving planes for equations involving the uniformly elliptic nonlocal Bellman operator. As a consequence, we derive multiple applications of these maximum principles and the
Wei Dai, Guolin Qin
semanticscholar +1 more source
In this paper, we establish various maximum principles and develop the method of moving planes for equations involving the uniformly elliptic nonlocal Bellman operator. As a consequence, we derive multiple applications of these maximum principles and the
Wei Dai, Guolin Qin
semanticscholar +1 more source
Local infimum and a family of maximum principles in optimal control
Sbornik: Mathematics, 2020The notion of a local infimum for the optimal control problem, which generalizes the notion of an optimal trajectory, is introduced. For a local infimum the existence theorem is proved and necessary conditions in the form of a family of ‘maximum ...
E. R. Avakov, G. Magaril-Il'yaev
semanticscholar +1 more source
Some local maximum principles along Ricci flows
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2020In this work, we obtain a local maximum principle along the Ricci flow $g(t)$ under the condition that $\mathrm {Ric}(g(t))\le {\alpha } t^{-1}$ for $t>0$ for some constant ${\alpha }>0$ .
Man-Chun Lee, Luen-Fai Tam
semanticscholar +1 more source
A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
SIAM Review, 1995R. Hartl, S. Sethi, R. Vickson
semanticscholar +3 more sources
Mathematische Operationsforschung und Statistik. Series Optimization, 1979
A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
Gabasov, R., Kirillova, F.
openaire +2 more sources
A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
Gabasov, R., Kirillova, F.
openaire +2 more sources
Nonlinear Analysis: Theory, Methods & Applications, 1997
In optimal control problems, where the operator describing the dynamics of the process and the terminal condition is not regular, that is, its first Fréchet derivative is not surjective at the optimal process, the fundamental first-order necessary conditions offered by the Pontryagin maximum principle do not provide useful and sufficient information ...
Ledzewicz, Urszula, Schättler, Heinz
openaire +1 more source
In optimal control problems, where the operator describing the dynamics of the process and the terminal condition is not regular, that is, its first Fréchet derivative is not surjective at the optimal process, the fundamental first-order necessary conditions offered by the Pontryagin maximum principle do not provide useful and sufficient information ...
Ledzewicz, Urszula, Schättler, Heinz
openaire +1 more source
International Journal of Control, 1974
Abstract This paper presents a relatively simple proof of the maximum principle. The main objective has been to obtain a proof, similar to that due to Halkin, but replacing the use of Brouwer's fixed point theorem by an easily proven contraction mapping theorem.
G. F. BRYANT, D. Q. MAYNE
openaire +1 more source
Abstract This paper presents a relatively simple proof of the maximum principle. The main objective has been to obtain a proof, similar to that due to Halkin, but replacing the use of Brouwer's fixed point theorem by an easily proven contraction mapping theorem.
G. F. BRYANT, D. Q. MAYNE
openaire +1 more source
Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions
Calculus of Variations and Partial Differential Equations, 2016In this paper, we consider equations involving fully nonlinear non-local operators Fα(u(x))≡Cn,αPV∫RnG(u(x)-u(z))|x-z|n+αdz=f(x,u).\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Wenxiong Chen, Congming Li, Guanfeng Li
semanticscholar +1 more source