RT info:eu-repo/semantics/article
T1 Topologies of continuity for Carathéodory parabolic PDEs from a dynamical perspective
A1 Obaya, Rafael
A1 Longo, Iacopo Paolo
A1 Sanz Gil, Ana María
K1 Carathéodory functions, non-autonomous Carathéodory parabolic PDEs, topologies of continuity, dependence of solutions to PDEs on nonlinear term and initial conditions
AB Systems of non-autonomous parabolic partial differential equations over a bounded domain with nonlinear term of Carathéodory type are considered. Appropriate topologies on sets of Lipschitz Carathéodory maps are defined in order to have a continuous dependence of the mild solutions with respect to the variation of both the nonlinear term and the initial conditions, under different assumptions on the bound-maps of the nonlinearities.
PB American Institute of Mathematical Sciences
SN 1078-0947
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/58580
UL https://uvadoc.uva.es/handle/10324/58580
LA eng
NO Discrete and Continuous Dynamical Systems, 2023
NO Producción Científica
DS UVaDOC
RD 08-ago-2024