We prove that the electromagnetic material parameters are uniquely determined by boundary measurements for the time-harmonic Maxwell equations in certain anisotropic settings. We give a uniqueness result in the inverse problem for Maxwell equations on an admissible Riemannian manifold, and a uniqueness result for Maxwell equations in Euclidean space with admissible matrix coefficients. The proo...

We prove that the electromagnetic material parameters are uniquely determined by boundary measurements for the time-harmonic Maxwell equations in certain anisotropic settings. We give a uniqueness result in the inverse problem for Maxwell equations on an admissible Riemannian manifold, and a uniqueness result for Maxwell equations in Euclidean space with admissible matrix coefficients. The proo...

Let U and V be complete separable metric spaces, Vu compact in V and G : U × V → IR a continuous function. For a large class of (usually non–constructive) proofs of uniqueness theorems ∧ u ∈ U, v1, v2 ∈ Vu ( G(u, v1) = inf v∈Vu G(u, v) = G(u, v2) → v1 = v2 ) one can extract an effective modulus of uniqueness Φ by logical analysis, i.e. ∧ u ∈ U, v1, v2 ∈ Vu, n ∈ IN ( 2 ∧ i=1 ( G(u, vi)− inf v∈Vu...

In this paper, a new time discontinuous expanded mixed finite element method is proposed and analyzed for two-order convection-dominated diffusion problem. The proofs of the stability of the proposed scheme and the uniqueness of the discrete solution are given. Moreover, the error estimates of the scalar unknown, its gradient and its flux in the L∞(J̄ , L(Ω)-norm are obtained. Keywords—Convectio...

Some techniques for proving the existence and uniqueness of limit cycles for smooth differential systems, are extended to continuous piecewise– linear differential systems. Then we obtain new results on the existence and uniqueness of limit cycles for systems with three linearity zones and without symmetry. We also reprove existing results of systems with two linearity zones giving shorter and ...