TY  - JOUR
UR  - https://doi.org/10.6092/issn.2240-2829/18866
ID  - discovery10185490
N2  - 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.
Y1  - 2024/01/09/
A1  - Malagutti, Marcello
JF  - Bruno Pini Mathematical Analysis Seminar
PB  - University of Bologna
SP  - 201
VL  - 14
EP  - 228
IS  - 2
AV  - public
TI  - Regularity and Semialgebraicity of Solutions of Linear EquationsSystems
SN  - 2240-2829
KW  - Linear equations system
KW  -  semialgebraic solution
KW  -  Glaeser refinement
KW  -  bundle section
KW  -  semialgebraic set
N1  - Copyright (c) 2024 Marcello Malagutti. This work is licensed under a Creative Commons Attribution 3.0 Unported License.
ER  -