Exponential stability of solutions of the Cauchy problem for a diffusion equation with absorption with a distribution initial condition.
Exponentially slow traveling waves on a finite interval for Burger's type equation.
Extended dynamical systems.
Extended limiting absorption method and analicity of the S-matrix.
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 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 an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients
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 solutions for Monge-Ampère equations of hyperbolic type
Extension of zero-solutions of partial differential operators with dominating principal part.
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.
Extinction for fast diffusion equations with nonlinear sources.
Extremal equilibria for parabolic non-linear reaction-diffusion equations
Extremal functions for the anisotropic Sobolev inequalities
Extremal values of half-eigenvalues for -Laplacian with weights in balls.
Factor spaces and implications of Kirchhoff equations with clamped boundary conditions.
Failure of analytic hypoellipticity in a class of differential operators
For the hypoelliptic differential operators introduced by T. Hoshiro, generalizing a class of M. Christ, in the cases of and left open in the analysis, the operators also fail to be analytic hypoelliptic (except for ), in accordance with Treves’ conjecture. The proof is constructive, suitable for generalization, and relies on evaluating a family of eigenvalues of a non-self-adjoint operator.
Failure of convergence of the Lax-Oleinik semi-group in the time periodic case
Faisceaux maximaux de fonctions associées à un opérateur elliptique du second ordre
Soit le faisceau des sursolutions variationnelles d’un opérateur différentiel elliptique du second ordre à coefficients . Soit le faisceau des régularitées essentielles inférieures des éléments de . On démontre que est contenu dans un seul préfaisceau maximal de cônes convexes de fonctions s.c.i. vérifiant le principe du minimum sur une base d’ouverts suffisamment petits. On démontre que possède toutes les bonnes propriétés d’une théorie locale du potentiel.