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math.AP2024
Maximal regularity and optimal control for a non-local Cahn-Hilliard tumour growth model
Matteo Fornoni
We consider a non-local tumour growth model of phase-field type, describing the evolution of tumour cells through proliferation in presence of a nutrient. The model consists of a c…
math.AP2023
Optimal distributed control for a viscous non-local tumour growth model
Matteo Fornoni
In this paper, we address an optimal distributed control problem for a non-local model of phase-field type, describing the evolution of tumour cells in presence of a nutrient. The…
math.AP2022
Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains
Matteo Fornoni, Luca Rondi
We find extremely general classes of nonsmooth open sets which guarantee Mosco convergence for corresponding Sobolev spaces and the validity of Sobolev inequalities with a uniform…