Propagation of singularities up to the boundary along leaves

P. Dancona, Nobuyuki Tose, G. Zampieri

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study microlocal boundary value problems for a class of microdifferential equations. In particular, we are interested in a class of non-microcharacteristic systems and give a result on partially holimorphic extensibility of boundary-mi-crofunction solutions. This implies at once our main theorem on propagation of singularities up to the boundary. Our result contains several examples which can not be treated by the preceding results [S] and [S-Z]. There are many results about propagation of singularities for classes of non-microcharacteristic microdifferential operators. For the interior problem, we should first mention the paper by Bony-Schapira [B-S] on propagation along leaves of regular involutive submanifolds. This result was generalized by several authors: Hanges-Sjõstrand [H-Sj], Kashiwara-Schapira [K-S 1; §9], Grigis-Schapira-Sjõstrand [G-S-Sj] and Sjõstrand [Sj; ch.15]. For propagation at the boundary, we refer to Schapira [S] and its generalization Schapira-Zampieri [S-Z].

Original languageEnglish
Pages (from-to)453-460
Number of pages8
JournalCommunications in Partial Differential Equations
Volume15
Issue number4
DOIs
Publication statusPublished - 1990 Jan 1
Externally publishedYes

Fingerprint

Propagation of Singularities
Boundary value problems
Propagation
Submanifolds
Leaves
Interior
Boundary Value Problem
Imply
Operator
Theorem
Class

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Propagation of singularities up to the boundary along leaves. / Dancona, P.; Tose, Nobuyuki; Zampieri, G.

In: Communications in Partial Differential Equations, Vol. 15, No. 4, 01.01.1990, p. 453-460.

Research output: Contribution to journalArticle

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