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

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

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

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

Keywords: Parabolic operator; Semi-discrete Carleman estimates; Observability; Null controllability; Semi-linear