Extending Minimal Varieties.
Extension and lacunas of solutions of linear partial differential equations
Let be compact, convex sets in with and let be a linear, constant coefficient PDO. It is characterized in various ways when each zero solution of in the space of all -functions on extends to a zero solution in resp. in . The most relevant characterizations are in terms of Phragmén-Lindelöf conditions on the zero variety of in and in terms of fundamental solutions for with lacunas.
Extension de formes fermées et solutions de l’équation
Extension d'un théorème de l. Gårding à certaines fonctions hyperboliques
Extension of a regularity result concerning the dam problem
One proves, in the case of piecewise smooth coefficients, that the time derivative of the solution of the so called dam problem is a measure, extending the result proved by the same authors in the case of Lipschitz continuous coefficients.
Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order
Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients
Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series.
Extension of CR functions to «wedge type» domains
Let be a complex manifold, a generic submanifold of , the real underlying manifold to . Let be an open subset of with analytic, a complexification of . We first recall the notion of -tuboid of and of and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for to the extendability of functions on to -tuboids of . Next, if has complex dimension 2, we give results on extension...
Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian.
The purpose of this paper is to extend the Díaz-Saá’s inequality for the unbounded domains as RN.The proof is based on the Picone’s identity which is very useful in problems involving p-Laplacian. In a second part, we study some properties of the first eigenvalue for a system of p-Laplacian. We use Díaz-Saá’s inequality to prove uniqueness and Egorov’s theorem for the isolation. These results generalize J. Fleckinger, R. F. Manásevich, N. M. Stavrakakis and F. de Thélin’s work [9] for the first...
Extension of formal power series solutions
Extension of solutions for Monge-Ampère equations of hyperbolic type
Extension of two inequalities of Payne.
Extension of zero-solutions of partial differential operators with dominating principal part.
Exterior problem of the Darwin model and its numerical computation
In this paper, we study the exterior boundary value problems of the Darwin model to the Maxwell’s equations. The variational formulation is established and the existence and uniqueness is proved. We use the infinite element method to solve the problem, only a small amount of computational work is needed. Numerical examples are given as well as a proof of convergence.
Exterior problem of the Darwin model and its numerical computation
In this paper, we study the exterior boundary value problems of the Darwin model to the Maxwell's equations. The variational formulation is established and the existence and uniqueness is proved. We use the infinite element method to solve the problem, only a small amount of computational work is needed. Numerical examples are given as well as a proof of convergence.
External ellipsoidal harmonics for the Dunkl-Laplacian.
External finite element approximations of eigenvalue problems
Extinction and decay estimates of solutions for a class of porous medium equations.
Extinction and non-extinction of solutions for a nonlocal reaction-diffusion problem.