Title of article :
properties of M-hyoellipticity for pseudo differential operators
Author/Authors :
Alimohammady, M Department of Mathematics - University of Mazandaran, Babolsar , Kalleji, M.K Department of Mathematics - University of Mazandaran, Babolsar
Abstract :
In this paper we study properties of symbols such that these belong to class of symbols sitting inside
Sm
;' that we shall introduce as the following. So for because hypoelliptic pseudodifferential operators
plays a key role in quantum mechanics we will investigate some properties of M-hypoelliptic pseudo
differential operators for which dene base on this class of symbols. Also we consider maximal and
minimal operators of M-hypoelliptic pseudo differential operators and we express some results about
these operators.
Keywords :
pseudo differential operator , elliptic operator , hypoelliptic operator , parametrix operator
Journal title :
Astroparticle Physics
