Elliptic boundary value problems in the space of distributions

Emmanuel Andronikof and Nobuyuki Tose ()
Additional contact information
Emmanuel Andronikof: Keio University, Mathematics, Hiyoshi Campus
Nobuyuki Tose: Keio University, Mathematics, Hiyoshi Campus

A chapter in New Trends in Microlocal Analysis, 1997, pp 165-169 from Springer

Abstract: Abstract Elliptic boundary value problems have their own long history. For the general system they were, however, first clearly fomulated microlocally by M. Kashiwara and T. Kawai [K-K]. Their theorem has enjoyed many applications, for example, to solvability of operators of simple characteristics, hypoelliptic operators, and tangential Cauchy-Riemann systems. The theorem does not give, however, much information if we restrict ourselves in the space of distributions. This note aims at giving an analogous theorem of Kashiwara-Kawai type in case function spaces are tempered. See Theorem 3 in Section 1 for the main theorem. By this theorem, we can obtain many application to distribution boundary values of holomorphic functions (e.g. M. Uchida[U]).

Keywords: Elliptic Boundary; Inductive Limit; Local Cohomology; Canonical Morphism; Natural Morphism (search for similar items in EconPapers)
Date: 1997
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-68413-8_13

Ordering information: This item can be ordered from
http://www.springer.com/9784431684138

DOI: 10.1007/978-4-431-68413-8_13

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().