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We consider inverse boundary value problems for general real principal typedifferential operators. The first results state that the Cauchy data setuniquely determines the scattering relation of the operator andbicharacteristic ray transforms of lower order coefficients. We also give twodifferent boundary determination methods for general operators, and proveglobal uniqueness results for determining coefficients in nonlinear realprincipal type equations. The article presents a unified approach for treatinginverse boundary problems for transport and wave equations, and highlights therole of propagation of singularities in the solution of related inverseproblems.

Inverse problems for real principal type operators