We now free ourselves from the restrictive setting of equations which, as in the previous chapter, are explicitly given in evolution form. In Sections 8.1–8.6, we prove the propagation of singularities (wave front sets), or equivalently, the propagation of regularity, for solutions of general non-elliptic (pseudo)differential equations.

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Real Principal Type Propagation of Singularities

  • Peter Hintz

摘要

We now free ourselves from the restrictive setting of equations which, as in the previous chapter, are explicitly given in evolution form. In Sections 8.1–8.6, we prove the propagation of singularities (wave front sets), or equivalently, the propagation of regularity, for solutions of general non-elliptic (pseudo)differential equations.