TY - JOUR
AU - Malagutti, Marcello
PY - 2024/01/09
Y2 - 2024/07/14
TI - Regularity and Semialgebraicity of Solutions of Linear Equations Systems
JF - Bruno Pini Mathematical Analysis Seminar
JA - BPMAS
VL - 14
IS - 2
SE - Articles
DO - 10.6092/issn.2240-2829/18866
UR - https://mathematicalanalysis.unibo.it/article/view/18866
SP - 201-228
AB - <p>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.<br>Then we prove our result to determine a necessary and sufficient condition for the existence of <em>continuous </em>(C<sup>0</sup>) <em>semialgebraic</em><br><em>solutions</em> in case of a system of linear equations with <em>continuous semialgebraic coefficients</em>.</p>
ER -