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math.AP2023★ 2 cited
Global existence for certain fourth order evolution equations
Rafael Granero-Belinchón, Martina Magliocca
In this paper we establish three global in time results for two fourth order nonlinear parabolic equations. The first of such equations involves the Hessian and appears in epitaxia…
math.AP2023
A nonlocal equation describing tumor growth
Rafael Granero-Belinchón, Martina Magliocca
Cancer is a very complex phenomenon that involves many different scales and situations. In this paper we consider a free boundary problem describing the evolution of a tumor colony…