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

Section 4 is devoted to the proof the semi- discrete parabolic Carleman estimate in the case of a discontinuous diffu- sion cofficient for piecewise uniform meshes in

Note however that if the geometry permits the construction of a global continuous weight function ϕ that is smooth except at the interfaces and satisfies the sub-ellipticity

Carleman estimate for elliptic operators with coefficients with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic

From the relaxed observability estimate given above we obtain a h-null controllability result for the linear operator P M.. The equation is linearized yielding a bounded potential and

Dans le cadre de cette thèse, nous avons étudié le comportement mécanique, ou plus précisément le comportement à la fissuration et la plasticité, à température ambiante,

Moreover, our methodology can be readily adapted to derive the analogous counterpart of well-known controllability results in the continuous case, commonly relying on

We apply the transmutation method as in [11] to prove a uniform observability inequality for the heat equation where the observation is given in a part of the boundary.. Using

In particular, one could try to follow the approach in [23, 24], which would consist in first deducing from Theorem 1.4 a uniform controllability result for the wave equation, and