1 citations · 1 across the 6 of their papers we have counts for
7 papers
A variational approach to Ornstein-Uhlenbeck evolution equations and obstacle problems
Erica Ipocoana, Annalaura Rebucci
We develop a variational formulation of the Ornstein-Uhlenbeck evolution equation based on a Gaussian divergence structure, in which the drift term is absorbed into the first varia…
An Allen-Cahn tumor growth model with temperature
Stefania Gatti, Erica Ipocoana, Alain Miranville
In this paper, we propose a new non-isothermal Allen-Cahn (Ginzburg-Landau) model for tumor growth. After deriving it using a microforces approach, we study its well-posedness. In…
Regularity results for Hölder minimizers to functionals with non-standard growth
Antonio Giuseppe Grimaldi, Erica Ipocoana
We study the regularity properties of Hölder continuous minimizers to non-autonomous functionals satisfying -growth conditions, under Besov assumptions on the coefficients.…
Higher differentiability results in the scale of Besov spaces to a class of double-phase obstacle problems
Antonio Giuseppe Grimaldi, Erica Ipocoana
We study the higher fractional differentiability properties of the gradient of the solutions to variational obstacle problems of the form \begin{gather*} \min \biggl\{ \int_Ω F(x,w…
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions
Antonio Giuseppe Grimaldi, Erica Ipocoana
We here establish the higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions. We deal with the case in which the solu…
Pointwise estimates for degenerate Kolmogorov equations with -source term
Erica Ipocoana, Annalaura Rebucci
The aim of this paper is to establish new pointwise regularity results for solutions to degenerate second order partial differential equations with a Kolmogorov-type operator of th…
On a non-isothermal Cahn-Hilliard model for tumor growth
Erica Ipocoana
We introduce here a new diffuse interface thermodynamically consistent non-isothermal model for tumor growth in presence of a nutrient in a domain . In parti…