Carleman estimates for anisotropic elliptic operators with jumps at an interface

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

The topological asymptotic expansion for a class of shape functionals is derived in its general form in Section 4, and the concept of degenerate polarization tensor is introduced

- Pointwise asymptotic estimates for solutions of second order elliptic equations of a certain form are

Its role is crucial to establish spectral estimates from above and below of the function Cϕ/ |∇ c ϕ | 2 , that we need to state our main result

Retaining Hypothesis 2.3 throughout this section, we now continue the discussion on divergence form elliptic partial differential operators L Θ,Ω with nonocal Robin boundary

Key words: elliptic operators, divergence form, semigroup, L p estimates, Calder´on-Zygmund theory, good lambda inequalities, hypercontractivity, Riesz transforms,

But we will see that the behavior of (23) at infinity is not sufficient to prove our result. The results of section II allow us to show that the supposed assumptions are suitable for