an 2 00 5 Inverse problem for a Dirac - type equation on a vector bundle
نویسنده
چکیده
In this article, we study an inverse boundary value problem for a Dirac-type equation. Let V be a bundle with a base manifold M which has a Dirac structure with a chirality operator F . We assume that we can observe on the lateral boundary ∂M ×R+ the boundary values of solutions of the Dirac-type equation in M × R+. When the coefficients of the Dirac-type equation are time-independent, i.e. we consider the boundary measurements from a stationary object, we show that these data determine the vector bundle V and the Dirac-type operator upto a bundlemorphism. AMS classification: 35J25, 58J45
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