2021-12-07T10:04:23Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000395642021-03-01T14:07:56ZSome properties of mild hyperfunctions and an application to propagation of micro-analyticity in boundary value problemsKataoka, Kiyomi138240410application/pdfThe 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].departmental bulletin paperFaculty of Science, The University of Tokyo1983-12-10application/pdfJournal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics = 東京大学理学部紀要. 第1類A, 数学230279297AA0069796700408980https://repository.dl.itc.u-tokyo.ac.jp/record/39564/files/jfs300204.pdfeng