scholarly journals On a generalized maximum principle for a transport-diffusion model with $\log$-modulated fractional dissipation

2014 ◽  
Vol 34 (9) ◽  
pp. 3437-3454 ◽  
Author(s):  
Hongjie Dong ◽  
◽  
Dong Li ◽  
Keyword(s):  
Maximum Principle ◽  
Diffusion Model ◽  
Transport Diffusion ◽  
Generalized Maximum Principle

Complete spacelike hypersurfaces in a Robertson–Walker spacetime

2011 ◽  
Vol 151 (2) ◽  
pp. 271-282 ◽  
Author(s):  
ALMA L. ALBUJER ◽  
FERNANDA E. C. CAMARGO ◽  
HENRIQUE F. DE LIMA
Keyword(s):  
Maximum Principle ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Rigidity Results ◽  
Complete Spacelike Hypersurfaces ◽  
Uniqueness Results ◽  
Spacelike Hypersurfaces ◽  
Generalized Maximum Principle ◽  
Non Parametric

AbstractIn this paper, as a suitable application of the well-known generalized maximum principle of Omori–Yau, we obtain uniqueness results concerning to complete spacelike hypersurfaces with constant mean curvature immersed in a Robertson–Walker (RW) spacetime. As an application of such uniqueness results for the case of vertical graphs in a RW spacetime, we also get non-parametric rigidity results.

scholarly journals Generalized Maximum Principle in Optimal Control

2018 ◽  
Vol 483 (3) ◽  
pp. 237-240
Author(s):  
E. Avakov ◽  
◽  
G. Magaril-Ilyayev ◽  
◽  
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Generalized Maximum Principle

scholarly journals A volume estimate for strong subharmonicity and maximum principle on complete Riemannian manifolds

1998 ◽  
Vol 151 ◽  
pp. 25-36 ◽  
Author(s):  
Kensho Takegoshi
Keyword(s):  
Riemannian Manifold ◽  
Maximum Principle ◽  
Growth Condition ◽  
Riemannian Manifolds ◽  
Volume Growth ◽  
Complete Riemannian Manifold ◽  
Volume Estimate ◽  
Complete Riemannian Manifolds ◽  
Generalized Maximum Principle

Abstract.A generalized maximum principle on a complete Riemannian manifold (M, g) is shown under a certain volume growth condition of (M, g) and its geometric applications are given.

scholarly journals Generalized Maximum Principle in Optimal Control

2018 ◽  
Vol 98 (3) ◽  
pp. 575-578 ◽  
Author(s):  
E. R. Avakov ◽  
G. G. Magaril-Il’yaev
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Generalized Maximum Principle

Complete spacelike submanifolds in a locally symmetric semi-Riemannian space

2020 ◽  
Vol 31 (04) ◽  
pp. 2050033
Author(s):  
Shicheng Zhang ◽  
Yuntao Zhang
Keyword(s):  
Maximum Principle ◽  
Mean Curvature ◽  
Riemannian Space ◽  
Curvature Vector ◽  
Isoparametric Hypersurface ◽  
Mean Curvature Vector ◽  
Totally Umbilical ◽  
Type Formula ◽  
Spacelike Submanifolds ◽  
Generalized Maximum Principle

In this paper, complete spacelike submanifolds with parallel normalized mean curvature vector are investigated in semi-Riemannian space obeying some standard curvature conditions. In this setting, we obtain a suitable Simons type formula and apply it jointly with the well-known generalized maximum principle of Omori–Yau to show that it must be totally umbilical submanifold or isometric to an isoparametric hypersurface in a submanifold [Formula: see text] of [Formula: see text].

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