eprintid: 10185490
rev_number: 6
eprint_status: archive
userid: 699
dir: disk0/10/18/54/90
datestamp: 2024-01-16 13:05:58
lastmod: 2024-01-16 13:05:58
status_changed: 2024-01-16 13:05:58
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Malagutti, Marcello
title: Regularity and Semialgebraicity of Solutions of Linear EquationsSystems
ispublished: pub
divisions: UCL
divisions: B04
divisions: C06
divisions: F59
keywords: Linear equations system, semialgebraic solution, Glaeser refinement, bundle section, semialgebraic set
note: Copyright (c) 2024 Marcello Malagutti. This work is licensed under a Creative Commons Attribution 3.0 Unported License.
abstract: This work is concerned with the study of a necessary and sufficient condition for the existence of solutions with a given regularity to a system of linear equations with coefficients of given regularity. First, to properly contextualize the subject matter and to introduce crucial analytical solving tools, we go through results by C.Fefferman- J.Kollár and by C.Fefferman - G.K.Luli.
Then we prove our result to determine a necessary and sufficient condition for the existence of continuous (C0) semialgebraic solutions in case of a system of linear equations with continuous semialgebraic coefficients.
date: 2024-01-09
date_type: published
publisher: University of Bologna
official_url: https://doi.org/10.6092/issn.2240-2829/18866
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 2139740
doi: 10.6092/issn.2240-2829/18866
lyricists_name: Malagutti, Marcello
lyricists_id: MMALB52
actors_name: Malagutti, Marcello
actors_id: MMALB52
actors_role: owner
full_text_status: public
publication: Bruno Pini Mathematical Analysis Seminar
volume: 14
number: 2
pagerange: 201-228
issn: 2240-2829
citation:        Malagutti, Marcello;      (2024)    Regularity and Semialgebraicity of Solutions of Linear EquationsSystems.                   Bruno Pini Mathematical Analysis Seminar , 14  (2)   pp. 201-228.    10.6092/issn.2240-2829/18866 <https://doi.org/10.6092/issn.2240-2829%2F18866>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10185490/1/18866-Article%20Text-75011-1-10-20240102.pdf