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Sur une méthode itérative de résolution de problèmes aux limites elliptiques non linéaires

Moïse Sibony (1977)

Aplikace matematiky

Soit A un opérateur non nécessairement linéaire d’un Hilbert de l’équation A u = f , pour f donné dans ' . Nous étudions la convergence du schéma itératif suivant: u n + 1 = u n - ρ B - 1 ( A u n - f ) aou B est fonction d’un opérateur auto-adjoint S choisi de telle sorte que l’inversion de B soit immédiate numériquement. Par exemple B = [ I - ( I - ρ 0 S ) m ] - 1 S avec un entier m et une constante ρ 0 convenablement choisis. Nous appliquons les résultats à un problème aux limites non linéaires avec résultats numériques.

Surface integral and Gauss-Ostrogradskij theorem from the viewpoint of applications

Alexander Ženíšek (1999)

Applications of Mathematics

Making use of a surface integral defined without use of the partition of unity, trace theorems and the Gauss-Ostrogradskij theorem are proved in the case of three-dimensional domains Ω with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces H 1 , p ( ) ( 1 ...

Switching control

Enrique Zuazua (2011)

Journal of the European Mathematical Society

We analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the dynamics of the system by switching from an actuator to the other in a systematic way so that, in each instant of time, only one actuator is active. We first address a finite-dimensional model and show that, under suitable rank conditions, switching control strategies exist and can be built in a systematic way. To do this we introduce a new variational principle building...

Symbol calculus on the affine group "ax + b"

Qihong Fan (1995)

Studia Mathematica

The symbol calculus on the upper half plane is studied from the viewpoint of the Kirillov theory of orbits. The main result is the L p -estimates for Fuchs type pseudodifferential operators.

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