Invariance of sets under mutational inclusions on metric spaces

• Published in: Nonlinear differential equations and applications Vol. 30; no. 4
• Main Authors: Frankowska, Hélène, Lorenz, Thomas
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.07.2023; Springer Nature B.V; Springer Verlag
• Subjects: Analysis; Banach spaces; Continuity equation; Dynamical systems; Inclusions; Invariance; Mathematics; Mathematics and Statistics; Metric space; Radon; Transport equations; Transport equation; 47J22; Radon measure; 35Q49; 34K09; Mutational differential inclusion; 30L99; Invariance; Radon measure. Mathematics Subject Classifications 2020: 30L99; Mutational differential inclusion invariance transport equation Radon measure. Mathematics Subject Classifications 2020: 30L99 34K09 35Q49 47J22; invariance; transport equation

This paper is devoted to the invariance of time dependent sets under dynamical systems defined on a metric space. In the absence of vector structure, evolutions are described by the so-called mutational inclusions, that extend differential inclusions of the classical Euclidean framework to the one o...