Results 51 to 60 of about 8,396,712 (346)

A maximum principle at infinity with applications to geometric vector fields

open access: yesJournal of Mathematical Analysis and Applications, 2019
We derive a new form of maximum principle, applicable to a vector field with nonnegative divergence in a connected, oriented, complete noncompact Riemannian manifold. We then use it to obtain some applications to Killing vector fields. More precisely, we
Luis J. Alías   +2 more
semanticscholar   +1 more source

Application of maximum principle optimizing active current subharmonic filter [PDF]

open access: yesОмский научный вестник, 2019
In this article, the structure and parameters of an optimal regulator for active filter current subharmonics (AFSC) are received based on the optimal control method L. S. Pontryagin.
V. N. Anosov   +2 more
doaj   +1 more source

Maximum principle for higher order operators in general domains

open access: yesAdvances in Nonlinear Analysis, 2021
We first prove De Giorgi type level estimates for functions in W1,t(Ω), Ω⊂RN$ \Omega\subset{\mathbb R}^N $, with t>N≥2$ t \gt N\geq 2 $. This augmented integrability enables us to establish a new Harnack type inequality for functions which do not ...
Cassani Daniele, Tarsia Antonio
doaj   +1 more source

Maximum principle and numerical method for the multi-term time–space Riesz–Caputo fractional differential equations [PDF]

open access: yes, 2014
The maximum principle for the space and time–space fractional partial differential equations is still an open problem. In this paper, we consider a multi-term time–space Riesz–Caputo fractional differential equations over an open bounded domain.
Turner, I., Ye, H., Liu, F., Anh, V.
core   +1 more source

On the maximum principle for a time-fractional diffusion equation [PDF]

open access: yes, 2017
In this paper, we discuss the maximum principle for a time-fractional diffusion equation ∂tαu(x,t)=∑i,j=1n∂i(aij(x)∂ju(x,t))+c(x)u(x,t)+F(x,t),t>0,x∈Ω⊂Rn,$$\begin{array}{} \displaystyle \partial_t^{\alpha} u(x,t) = \sum\limits_{i,j=1}^n \partial_i(a_{ij}(
Yuri Luchko, Masahiro Yamamoto
semanticscholar   +1 more source

The Maximum Principle of Pontryagin in Control of Twolegged Robot Based on Human Walking System [PDF]

open access: yes, 2014
In the paper a hypothesis about state equations of human gait is presented. Instantaneous normalized power developed by human muscles at particular joints of a leg is a control vector in state equations of the human walking system.
K.K. Żur, Żur, K. K.
core   +1 more source

Infant Embryonal CNS Tumors: Molecular Insights and Treatment Considerations for Contemporary Pediatric Neuro‐Oncology

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Embryonal tumors comprise the majority of malignant central nervous system (CNS) neoplasms diagnosed in children under 3 years of age. Compared with their counterparts in older children, these tumors exhibit distinct molecular biology and a more aggressive clinical phenotype, while their management is complicated by the heightened ...
Sudarshawn Damodharan   +3 more
wiley   +1 more source

Relaxation Processes and the Maximum Entropy Production Principle

open access: yesEntropy, 2010
Spontaneous transitions of an isolated system from one macroscopic state to another (relaxation processes) are accompanied by a change of entropy. Following Jaynes’ MaxEnt formalism, it is shown that practically all the possible microscopic developments ...
Davor Juretić   +3 more
doaj   +1 more source

Maximum Entropy Principle in Deep Thermalization and in Hilbert-Space Ergodicity [PDF]

open access: yesPhysical Review X
We report universal statistical properties displayed by ensembles of pure states that naturally emerge in quantum many-body systems. Specifically, two classes of state ensembles are considered: those formed by (i) the temporal trajectory of a quantum ...
D. Mark   +7 more
semanticscholar   +1 more source

The maximum principle and biharmonic functions [PDF]

open access: yes, 1961
This note concerns the maximum principle which applies to solutions of partial differential equations of elliptic type. This principle asserts that the maximum of a solution occurs on the boundary of a region.
Duffin, R.J
core   +1 more source

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