Abstract
In this paper, we obtain bounds showing increasing stability of the continuation for solutions of the stationary Maxwell system when the wave number k is growing. We reduce this system to a new system with the Helmholtz operator in the principal part and use hyperbolic energy and Carleman estimates with k-independent constants in the Cauchy problem for this new system. We consider the continuation onto the convex hull of the surface with the Cauchy data. Hyperbolic energy estimates suggest an existence of increasing (with k) subspaces, where the solution of the Cauchy problem is Lipschitz stable disregard of any (pseudo) convexity assumptions.
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