Results 221 to 230 of about 53,629 (261)

A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation

Journal of Computational and Applied Mathematics
The authors present an improved finite volume method preserving the discrete maximum principle for the diffusion problem with heterogeneous coefficient. This scheme can deal with various cases, including that arbitrary cell edges are the discontinuous line, and then overcomes the defect of the existing schemes which assume that there has only one ...
Zhiqiang Sheng, Guangwei Yuan
exaly   +3 more sources

A maximum principle for a class of functionals in nonlinear dirichlet problems

Lecture Notes in Mathematics, 1976
Philip W Schaefer, René P Sperb
exaly   +2 more sources

A nonlinear version of the Kantorovich–Rubinstein maximum principle

Nonlinear Analysis: Theory, Methods & Applications, 2003
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Gacki, Henryk, Lasota, Andrzej
openaire   +2 more sources

Maximum-entropy principle for nonlinear hydrodynamic transport in semiconductors

Continuum Mechanics and Thermodynamics, 2008
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TROVATO, Massimo, FALSAPERLA, PAOLO
openaire   +1 more source

The Maximum Principle and Controllability of Nonlinear Equations

SIAM Journal on Control, 1972
The main result proved is that a nonlinear control equation is controllable if a related linear equation is controllable. The result allows the set of control values to be discrete and it is not assumed that “small” values of the control are available. The methods used are closely related to the Pontryagin maximum principle.
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Maximum entropy principle and nonlinear stochastic oscillators

Physica A: Statistical Mechanics and its Applications, 1993
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Sobczyk, K., Trȩbicki, J.
openaire   +1 more source

Maximum Principle for Nonlinear Parabolic Equations

Journal of Mathematical Sciences, 2018
In this paper, the author gives some maximum principles for solutions of some nonlinear parabolic equations. The author considers first, the parabolic equation \[ \mathcal{L}u-u_{t}=f(x,t,u,Du),\text{ in }\Omega\cup\gamma\Omega\tag{1} \] where {\parindent=6mm \begin{itemize}\item[{\(\bullet\)}] \(\Omega\subset\mathbb{R}^n\times(0,\infty)\) is an ...
openaire   +1 more source

Maximum Principle of a Class of Nonlinear PDE Systems

1989 American Control Conference, 1989
In Banach spaces with either L2 or L? type norm a generalized integral version of Maximum Principle for a class of nonlinear PDEs and a general cost functional is derived. The developed theory is applied to the design of a two-dimensional nonlinear hyperbolic system.
G. Huang, T.S. Tang
openaire   +1 more source

ON THE MAXIMUM PRINCIPLE FOR NONLINEAR PARABOLIC AND ELLIPTIC EQUATIONS

Mathematics of the USSR-Izvestiya, 1979
A maximum principle in Sobolev spaces is proved for nonlinear elliptic and parabolic equations. The proof is based on estimates for the maximum of the solutions of a parabolic equation with measurable coefficients, in terms of the norm of the right side. The results of the paper are analogous to results of A. D.
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Maximum Principles for a Class of Nonlinear Elliptic Boundary Value Problems

Acta Mathematicae Applicatae Sinica, English Series, 2005
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Ding, Juntang, Li, Shengjia, Hao, Jianghao   +2 more
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