All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 12 of 12

Showing per page

Solutions indéfiniment différentiables d’un système d’équations aux différences et application aux systèmes d’équations aux dérivées partielles

Yarakamé Souleymane Daniogo (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

Dans cette note, nous prouvons l’existence de solutions indéfiniment différentiables d’un système de deux équations aux différences et appliquons la technique utilisée à l’étude des systèmes d’équations linéaires aux dérivées partielles.Dans chaque cas, on montre que les solutions sont les premières composantes des solutions d’un système matriciel que nous étudions.

Solutions of Analytical Systems of Partial Differential Equations

Trenčevski, K. (1995)

Serdica Mathematical Journal

In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).

Solvability near the characteristic set for a class of planar vector fields of infinite type

Alberto P. Bergamasco, Abdelhamid Meziani (2005)

Annales de l’institut Fourier

We study the solvability of equations associated with a complex vector field L in ℝ 2 with C ∞ or C ω coefficients. We assume that L is elliptic everywhere except on a simple and closed curve Σ . We assume that, on Σ , L is of infinite type and that L ∧ L ¯ vanishes to a constant order. The equations considered are of the form L u = p u + f , with f satisfying compatibility conditions. We prove, in particular, that when the order of vanishing of L ∧ L ¯ is > 1 , the equation L u = f is solvable in the C ∞ category but not in the C ω category....

Some partial differential equations in Clifford analysis

Elena Obolashvili (1996)

Banach Center Publications

Using Clifford analysis in a multidimensional space some elliptic, hyperbolic and parabolic systems of partial differential equations are constructed, which are related to the well-known classical equations. To obtain parabolic systems Clifford algebra is modified and some corresponding differential operator is constructed. For systems obtained the boundary and initial value problems are solved.

Some remarks on the continuity equation

Patrick Bernard (2008/2009)

Séminaire Équations aux dérivées partielles

This text is the act of a talk given november 18 2008 at the seminar PDE of Ecole Polytechnique. The text is not completely faithfull to the oral exposition for I have taken this opportunity to present the proofs of some results that are not easy to find in the literature. On the other hand, I have been less precise on the material for which I found good references. Most of the novelties presented here come from a joined work with Luigi Ambrosio.

Currently displaying 1 – 12 of 12

Page 1