Über das Verhalten elekromagnetischer Felder für kleine Frequenzen in mehrfach zusammenhängenden Gebieten. II.
Über die klassische Lösbarkeit des Cauchy-Problems für nichtlineare Wellengleichungen bei kleinen Anfangswerten und das asymptotische Verhalten der Lösungen.
Un Exemple Concernant le Comportement Asymptotique de la Solution Bornée de l'Équation........(u).
Un résultat de décroissance des poches de tourbillon axisymétriques
Un résultat d'homogénéisation pour une classe de problèmes de diffusion non linéaires stationnaires
Une formule de traces pour l’opérateur de Schrödinger dans
Uniform blow-up rates and asymptotic estimates of solutions for diffusion systems with nonlocal sources.
Uniform boundary stabilization of a thermoelastic bar with a nonlinear weak damping
Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation
Uniform exponential energy decay of Euler-Bernoulli equations by suitable boundary feedback operators
We study the uniform stabilization problem for the Euler-Bernoulli equation defined on a smooth bounded domain of any dimension with feedback dissipative operators in various boundary conditions.
Uniform stabilization for elastic waves system with highly nonlinear localized dissipation.
Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms
In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.
Unique continuation and decay for the Korteweg-de Vries equation with localized damping
This work is devoted to prove the exponential decay for the energy of solutions of the Korteweg-de Vries equation in a bounded interval with a localized damping term. Following the method in Menzala (2002) which combines energy estimates, multipliers and compactness arguments the problem is reduced to prove the unique continuation of weak solutions. In Menzala (2002) the case where solutions vanish on a neighborhood of both extremes of the bounded interval where equation holds was solved combining...
Unique continuation and decay for the Korteweg-de Vries equation with localized damping
This work is devoted to prove the exponential decay for the energy of solutions of the Korteweg-de Vries equation in a bounded interval with a localized damping term. Following the method in Menzala (2002) which combines energy estimates, multipliers and compactness arguments the problem is reduced to prove the unique continuation of weak solutions. In Menzala (2002) the case where solutions vanish on a neighborhood of both extremes of the bounded interval where equation holds was solved combining...
Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
Uniqueness and stability of regional blow-up in a porous-medium equation
Uniqueness of the boundary behavior for large solutions to a degenerate elliptic equation involving the ∞-Laplacian.
En esta nota estimamos la tasa máxima de crecimiento en la frontera de las soluciones de viscosidad de -Δ∞u + λ|u|m-1u = f en Ω (λ > 0, m > 3).De hecho, mostramos que sólo hay una única tasa de explosión en la frontera para esas soluciones explosivas. También obtenemos una versión del Teorema de Liouville para el caso Ω = RN.
Uniqueness of the critical mass blow up solution for the four dimensional gravitational Vlasov–Poisson system
Uniqueness of the Solution of a Semilinear Boundary Value Problem.
Universal solutions of a nonlinear heat equation on
In this paper, we study the relationship between the long time behavior of a solution of the nonlinear heat equation on (where ) and the asymptotic behavior as of its initial value . In particular, we show that if the sequence of dilations converges weakly to as , then the rescaled solution converges uniformly on to along the subsequence , where is an appropriate flow. Moreover, we show there exists an initial value such that the set of all possible attainable in this...