Conditions d'hyperbolicité pour les systèmes à multiplicité constante, de rang pouvant varier
Conditions ensuring T-1(Y) ⊂ Y.
The following theorem is the main result of the paper: Let X be a complex Banach space and T belong to L(X). Suppose that 0 lies at the unbounded component of the set of those l such that lI - T is a Fredholm operator. Let Y be a dense subspace of the dual space X' and S be a closed operator from Y to X such that T'(Y) is contained in Y and TSy = ST'y for every y belonging to Y. Then for every vector x belonging to X', T'x belongs to Y if and only if x belongs to Y.
Cônes symplectiques et opérateurs de Toeplitz
Conformal metrics with constant -curvature.
Consequences of symmetries on the analysis and construction of turbulence models.
Conservation laws for equations related to soil water equations.
Consistent models for electrical networks with distributed parameters
A system of one-dimensional linear parabolic equations coupled by boundary conditions which include additional state variables, is considered. This system describes an electric circuit with distributed parameter lines and lumped capacitors all connected through a resistive multiport. By using the monotony in a space of the form , one proves the existence and uniqueness of a variational solution, if reasonable engineering hypotheses are fulfilled.
Constructible sheaves, Whitney functions and Schwartz's distributions
Construction de solutions élémentaires dans le faisceau de M. Sato
Construction de solutions nulles et singulières pour des opérateurs de type principal
Construction de solutions ramifiées autour de deux hypersurfaces caractéristiques simples pour des opérateurs quasi-linéaires
Construction de solutions singulières pour des équations aux dérivées partielles non linéaires
Construction de solutions singulières pour des équations aux dérivées partielles non linéaires
Construction solutions of PDE in parametric form.
Contact geometry of hyperbolic equations of generic type.
Contact geometry of hyperbolic Monge-Ampére equations.
Contact geometry of multidimensional Monge-Ampère equations: characteristics, intermediate integrals and solutions
We study the geometry of multidimensional scalar order PDEs (i.e. PDEs with independent variables), viewed as hypersurfaces in the Lagrangian Grassmann bundle over a -dimensional contact manifold . We develop the theory of characteristics of in terms of contact geometry and of the geometry of Lagrangian Grassmannian and study their relationship with intermediate integrals of . After specializing such results to general Monge-Ampère equations (MAEs), we focus our attention to MAEs of...
Contact integrable extensions and differential coverings for the generalized (2 + 1)-dimensional dispersionless Dym equation
The method of contact integrable extensions is used to find new differential coverings for the generalized (2 + 1)-dimensional dispersionless Dym equation and corresponding Bäcklund transformations.
Contingent solutions to the center manifold equation
Continuation of analytic solutions of linear differential equations up to convex conical singularities