• Aucun résultat trouvé

Carleman estimate

Carleman estimate and null controllability of a fourth order parabolic equation in dimension N ≥ 2

Carleman estimate and null controllability of a fourth order parabolic equation in dimension N ≥ 2

... MSC : 35K35, 93B05, 93B07. Keywords: Fourth order parabolic equation, global Carleman estimate, controllability, observability. 1 Introduction In the present paper, we consider Ω ⊂ R N with (N ≥ 2) a ...

24

Carleman estimates for elliptic operators with complex coefficients. Part I: boundary value problems

Carleman estimates for elliptic operators with complex coefficients. Part I: boundary value problems

... axis. Each configuration needs to be addressed separately through a microlocalization procedure. For the Laplace operator at the boundary this was exploited to obtain a Carleman estimate in [ 35 ] for the ...

67

Numerical null controllability of the 1D heat equation: Carleman weights an duality

Numerical null controllability of the 1D heat equation: Carleman weights an duality

... semi-discrete Carleman estimate with an additional term in the right hand side, necessary to absorb these possibly spurious high frequencies (see [5], Theorem ...

35

Numerical controllability of the wave equation through primal methods and Carleman estimates

Numerical controllability of the wave equation through primal methods and Carleman estimates

... semi-discrete Carleman estimate with an additional term in the right hand side, necessary to absorb these possibly spurious high frequencies (see [5], Theorem ...

34

Carleman estimates for the wave equation in heterogeneous media with non-convex interface

Carleman estimates for the wave equation in heterogeneous media with non-convex interface

... a Carleman estimate for the wave equation that has the noteworthy quality of holding under extended assumptions where the main coefficient is constant by pieces across a possibly non-convex ...of ...

26

Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications

Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications

... In preparation to this section, we shall prove here the Carleman estimate on uniform meshes, for a slightly more general semi-discrete elliptic operator that we define now. For all i ∈ J1, dK, let ξ 1,i ∈ R ...

44

Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations

Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations

... which the usual large parameter is connected to the one-dimensional discretization step-size. The discretizations we address are some families of smoothly varying meshes. As a consequence of the Carleman ...

40

On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations

On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations

... local Carleman estimate for an elliptic operator in Section ...the Carleman estimates. We apply Carleman estimates to elliptic equations and inequalities and prove unique continuation results ...

32

Carleman estimates for elliptic operators with complex coefficients Part II: transmission problems

Carleman estimates for elliptic operators with complex coefficients Part II: transmission problems

... polynomial in ξ n . Of course the configuration of the roots changes as the other parameters (x ′ , ξ ′ , τ ) are modified. Roots can for instance cross the real axis. Each configuration needs to be addressed separately ...

59

Numerical reconstruction based on Carleman estimates of a source term in a reaction-diffusion equation.

Numerical reconstruction based on Carleman estimates of a source term in a reaction-diffusion equation.

... applying Carleman estimates to controllability problems, we refer to [ 7 ] for the numerical controllability of the wave equation and [ 12 ] for the numerical controllability of the heat, Stokes and Navier-Stokes ...

38

Carleman estimates for anisotropic elliptic operators with jumps at an interface

Carleman estimates for anisotropic elliptic operators with jumps at an interface

... For instance, for second-order elliptic operators with real coefficients 3 in the prin- cipal part, Lipschitz continuity of the coefficients suffices for a Carleman estimate to hold and thus for unique ...

47

Opérateurs Intégraux de Carleman Générées par des Noyaux Multi-échelles

Opérateurs Intégraux de Carleman Générées par des Noyaux Multi-échelles

... 3. OPÉRATEURS INTÉGRAUX DE CARLEMAN Chaque opérateur correspond à un choix différent de la fonction K, qui s’appelle le noyau de l’opérateur A. On doit regarder les opérateurs intégraux non pas comme une classe ...

28

How to estimate the productivity of public capital ?

How to estimate the productivity of public capital ?

... rect estimate of a production function expanded to the stock of public capital, is a …rst empirical way to measure these e¤ects, which has the advantage of a great ...

36

A Probabilistically Analyzable Cache to Estimate Timing Bounds

A Probabilistically Analyzable Cache to Estimate Timing Bounds

... 5.3.2 Measurement-Based Probabilistic Timing Analysis MBPTA is a technique used to reduce the cost of acquiring the knowledge needed for computing trustworthy WCET bounds [24, 43]. MBPTA seeks to determine the WCET ...

85

Denjoy-Carleman classes and lineability

Denjoy-Carleman classes and lineability

... Workshop on Functional Analysis Valencia 2015 on the occasion of the 60th birthday of José Bonet.. Valencia – June 16, 2015..[r] ...

47

Inégalités de carleman pour des systèmes paraboliques et applications aux problèmes inverses et à la contrôlabilité contributions à la diffraction d’ondes acoustiques dans un demi-plan homogène

Inégalités de carleman pour des systèmes paraboliques et applications aux problèmes inverses et à la contrôlabilité contributions à la diffraction d’ondes acoustiques dans un demi-plan homogène

... de Carleman avec une seule observation. L’inégalité de Carleman qu’ils obtiennent ne peut être utilisée pour traiter le problème inverse de l’iden- tification de coefficients, car les fonctions poids dans ...

121

Methods to Estimate Dynamic Stochastic General Equilibrium Models

Methods to Estimate Dynamic Stochastic General Equilibrium Models

... Wklv sdshu hpsor|v wkh rqh0vhfwru Uhdo Exvlqhvv F|foh prgho dv d whvwlqj jurxqg iru irxu glhuhqw surfhgxuhv wr hvwlpdwh G|qdplf Vwrfkdvwlf Jhqhudo Htxloleulxp +GVJH, prghov1Wkh surfhgxu[r] ...

49

Error estimate and unfolding for periodic homogenization

Error estimate and unfolding for periodic homogenization

... ε in H per 1 (Y ; L 2 (Ω)), such that the distance between the unfolded T ε ( ∇ x φ) and ∇ x φ + ∇ y φ b ε is of order of ε in the space [L 2 (Y ; H −1 (Ω))] n . Theorems 4.1, 4.2 and 4.5 give an estimate of the ...

16

Multiplicity estimate for solutions of extended Ramanujan’s system

Multiplicity estimate for solutions of extended Ramanujan’s system

... ideal of the ring R, because D-stability of a principal ideal means exactly the condition Q|DQ on a generator of the ideal).. Kozlov, On algebraic independence of functions from a certai[r] ...

10

An a posteriori Error Estimate of Hierarchical Type

An a posteriori Error Estimate of Hierarchical Type

... Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES Unit´e de recherche INRIA Rennes, Ir[r] ...

52

Show all 258 documents...

Sujets connexes