Premium
The Essential Spectrum of a Non‐Elliptic Boundary Value Problem
Author(s) -
Langer Heinz,
Möller Manfred
Publication year - 1996
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19961780111
Subject(s) - mathematics , spectrum (functional analysis) , resolvent , operator (biology) , semi elliptic operator , boundary value problem , operator matrix , essential spectrum , elliptic operator , differential operator , mathematical analysis , extension (predicate logic) , matrix (chemical analysis) , pure mathematics , biochemistry , chemistry , physics , materials science , repressor , quantum mechanics , computer science , transcription factor , composite material , gene , programming language
In this note a matrix partial differential operator is considered. It is shown that under certain conditions it defines a closed operator with nonempty resolvent set, and its essential spectrum is determined. In the symmetric case G.D. Raikov obtained earlier corresponding results (under slightly different assumptions) for the Friedrichs extension of the operator.