Global Carleman estimates (valid for solutions considered in the whole domain and sat- isfying boundary conditions) were applied to parabolic equations by first time in [18],

Concerning inverse problems for hyperbolic equations with a single observation, we can refer to [11], [12], where the method relies on uniqueness results obtained by local

In this note, we announce a general result resolving the long-standing question of nonlinear modulational stability, or stability with respect to localized perturbations, of

Vogelius, Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling, Quart. Leblond, Logarithmic stability estimates

Mons ieur WOLLENSACK , Ense ignants du Cnam Rég ion Centre Mons ieur PENNET IER , Ense ignants du Cnam Rég ion Centre Mons ieur LANGLET , Ense ignants du Cnam Rég ion

1.3.2 The new sticky particle model for pressureless gases dynamics with small

Our method consists in combining several general results in order to reduce the null- controllability of this nonlinear parabolic equation to the exact controllability of a linear

We can use the preceding proposition for a quick proof of the following result which is an improvement of the bound Eq.(1.2):..

Nevertheless, uniqueness and Lipschitz stability are obtained in [1] for the inverse problem of retriev- ing a stationary potential for the wave equation with Dirichlet data

In this subsection, we show that we can transform Equation (4.20) into a semilinear equation associated with a second order elliptic... Even if the proof can be obtained arguing as

The bold periodic orbits near the center correspond to the lower and upper stability boundaries: in particular, all periodic traveling wave solutions of (2.1) corresponding to

The first Carleman inequality for a fourth order parabolic equation was proved in [ 7 ], where the local exact controllability to the trajectories of the Kuramoto-Sivashinsky

Key words: Inverse problem ; Heat equation ; Local stability estimate ; Shape optimization..

The quite gênerai theory of [3] for linearizing RK équations by Newton's method or by a modified Newton method applies to the KS équation as well and yields under some mild

As opposed to the striking divergence of the cis-acting sequence elements that direct cleavage and polyadenylation, the protein components of the pre-mRNA 3'-end processing

ñ Les statistiques permettent de concevoir, de paramétrer et d’évaluer l’adéquation du modèle pour une tâche donnée. Damien Nouvel (Inalco) Introduction 14

Since the spectrum of periodic traveling waves of (KdV) is explicitly known BD [5], we even expect to be able to combine low-Floquet arguments validating the

By using hourly data on traffic flows in Ticino, the southernmost canton of Switzerland, and data on Italian supermarkets, I analyse the effects of the Swiss franc appreciation