Results 241 to 250 of about 53,629 (261)

A Discrete Maximum Principle for Nonlinear Elliptic Systems with Interface Conditions

2010
A discrete maximum principle is proved for some nonlinear elliptic systems A recent result is extended to problems with interface conditions The discrete maximum principle holds on meshes with suitably small mesh size and under proper acuteness type conditions In particular, this implies the discrete nonnegativity property under nonnegative data As an ...
openaire   +1 more source

The maximum principle for nonlinear nonconvex systems with set targets

1985 24th IEEE Conference on Decision and Control, 1985
Using Ekeland's variational principle ([2]) we obtain a version of Pontryagin's maximum principle for the general input-output systems in infinite dimensional systems defined in §2 below, where trajectories are supposed to hit a "large" set (see the "fat cone condition" in §5) with optimal value of a general cost functional. Unlike infinite dimensional
openaire   +1 more source

A Strong Maximum Principle for General Nonlinear Operators

2023
Lucas Fresse, Viorica V. Motreanu
openaire   +1 more source

Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes

Science China Mathematics, 2022
Zhiqiang Sheng, Guangwei Yuan, Yuan Guangwei   +2 more
exaly  

Maximum principles and nonlinear elliptic problems

Journal d'Analyse Mathématique, 1979
openaire   +2 more sources

The maximum principle for systems of nonlinear equations

Mathematica Applicanda, 1976
openaire   +1 more source

Local maximum principle for $L^p$-viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients

Communications on Pure and Applied Analysis, 2012
Shigeaki Koike, Andrzej Swiech
exaly  

A maximum principle for the starshape of solutions of nonlinear Poisson equations

1985
Let be \(u\equiv 1\) on \({\bar \Omega}{}_ 1\), \(u=0\) on \(\partial \Omega_ 0\), \(\Omega_ 1\subset \subset \Omega_ 0\) and suppose that u satisfies \(\Delta u=f(x,u ...
openaire   +2 more sources

Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle

SIAM Journal of Scientific Computing, 2018
Zhiqiang Sheng, Guangwei Yuan
exaly  

A weak maximum principle-based approach for input-to-state stability analysis of nonlinear parabolic PDEs with boundary disturbances

Mathematics of Control, Signals, and Systems, 2020
Jun Zheng, Guchuan Zhu, Zhu Guchuan
exaly