Well-posedness of non-autonomous transport equation on metric graphs.

Autor: Budde, Christian, Kramar Fijavž, Marjeta
Předmět:
Zdroj: Semigroup Forum; Apr2024, Vol. 108 Issue 2, p319-334, 16p
Abstrakt: We consider transport processes on metric graphs with time-dependent velocities and show that, under continuity assumption of the velocity coefficients, the corresponding non-autonomous abstract Cauchy problem is well-posed by means of evolution families and evolution semigroups. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index