Some properties of mild hyperfunctions and an application to propagation of micro-analyticity in boundary value problems
Kiyômi Kataoka · Institutional Repositories DataBase (IRDB) · 1983
The notion of mildness for hyperfunctions ([5]) was successfully applied in [6] to the microlocal analysis of boundary value problems. In the present Journal Article, we study some further properties of mild hyperfunctions, particularly under Holmgren-type coordinate transformations. As corollaries, we obtain a general theorem on the propagation of micro-analyticity up to the boundary of solutions of microdifferential equations, and a theorem on the compatibility between topological boundary values and Trace of mild distributions. The former result has already been announced in [7]. The latter one is the perfect form of the similar result in [5].