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Morteza Koozehgar Kalleji

Morteza Koozehgar Kalleji

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-7052-7241
Education: PhD.
ScopusId: 55803631900
Faculty: Science
Address: Arak University
Phone:

Research

Title
Essential spectrum of M-hypoelliptic pseudo-differential operators on the torus
Type
JournalPaper
Keywords
Pseudo differential operator Spectrum and essential spectrum M-hypoellipticity Tours
Year
2015
Journal Journal of Pseudo-Differential Operators and Applications
DOI
Researchers Morteza Koozehgar Kalleji

Abstract

This article devoted to study periodic M-hypoelliptic pseudo-differential operators on torus More precisely, we consider toroidal M-hypoelliptic symbols and we construct the minimal and maximal extension on for periodic M-hypoelliptic pseudo-differential operators. We obtain some results about the minimal and maximal operators of periodic M-hypoelliptic pseudo-differential operators. For periodic M-hypoelliptic pseudo-differential operators on with constant coefficients, the spectrum and essential spectrum are computed. Finally, we will apply the periodic theory developed in this article to the Cauchy problem and heat operator on torus.