Contrôlabilité exacte pour des systèmes à mèmoire.
Combining HUM and compactness arguments the exact controllability is prove for time dependent smooth kernels.
Convergence dans de la solution de l’équation de Klein-Gordon vers celle de l’équation des ondes
Convergence of solutions of generalized Korteweg-de Vries-Burgers equations to those of first order equations
Convergence of the 'relativistic' heat equation to the heat equation as c → ∞.
We prove that the entropy solutions of the so-called relativistic heat equation converge to solutions of the heat equation as the speed of light c tends to ∞ for any initial condition u0 ≥ 0 in L1(RN) ∩ L∞(RN).
Convergence Rates of the POD–Greedy Method
Iterative approximation algorithms are successfully applied in parametric approximation tasks. In particular, reduced basis methods make use of the so-called Greedy algorithm for approximating solution sets of parametrized partial differential equations. Recently, a priori convergence rate statements for this algorithm have been given (Buffa et al. 2009, Binev et al. 2010). The goal of the current study is the extension to time-dependent problems, which are typically approximated using the POD–Greedy...
Convergenza per l'equazione degli integrali primi associata al problema del rimbalzo
In this paper we present a few results on convergence for the prime integrals equations connected with the bounce problem. This approach allows both to prove uniqueness for the one-dimensional bounce problem for almost all permissible Cauchy data (see also [6]) and to deepen previous results (see [3], [5], [7]).
Critical points of solutions of elliptic equations in two variables
Crossover collision of scroll wave filaments.