3 papers
math.CO2026
Elements represented as intersections of sets
Geir Agnarsson, Mikolaj Sierzega
For a natural number let . We say that a family is \emph{representing} if every singleton set of is an intersection of…
math.AP2023
On the existence of global solutions for the 3D chemorepulsion system
Tomasz Cieślak, Mario Fuest, Karol Hajduk +1
In this paper, we give sufficient conditions for global-in-time existence of classical solutions for the fully parabolic chemorepulsion system posed on a convex, bounded three-dime…
math.AP2019
Well-posedness of Semilinear Heat Equations in
Robert Laister, Mikolaj Sierzega
The problem of obtaining necessary and sufficient conditions for local existence of non-negative solutions in Lebesgue spaces for semilinear heat equations having monotonically inc…