Open AccessWeighted Spectral Gap and a Unique Continuation Result for the Magnetic Differential Elliptic Operator
Author(s) -
Duni Y. F. Zongo,
Bila Adolphe Kyelem,
Arouna Ouédraogo
Publication year - 2022
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v14n1p62
Subject(s) - mathematics , elliptic operator , operator (biology) , differential operator , continuation , spectral gap , measure (data warehouse) , inverse , spectrum (functional analysis) , mathematical analysis , poincaré conjecture , order (exchange) , semi elliptic operator , pure mathematics , geometry , physics , biochemistry , chemistry , repressor , quantum mechanics , database , computer science , transcription factor , gene , programming language , finance , economics
We prove two different kind of results for the magnetic elliptic operator which are the spectral gap of the magnetic elliptic functional energy and the inverse Poincare inequality which is used to prove that if u vanish on a set of positive measure E then, u has a zero of infinite order at almost every point of E.