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math.AP2009
Vector-valued heat equations and networks with coupled dynamic boundary conditions
Delio Mugnolo
Motivated by diffusion processes on metric graphs and ramified spaces, we consider an abstract setting for interface problems with coupled dynamic boundary conditions belonging to…
math.AP2009★ 6 cited
A variational approach to strongly damped wave equations
Delio Mugnolo
We discuss a Hilbert space method that allows to prove analytical well-posedness of a class of linear strongly damped wave equations. The main technical tool is a perturbation lemm…