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math.AP2021
Evolution equations with nonlocal initial conditions and superlinear growth
Irene Benedetti, Simone Ciani
We carry out an analysis of the existence of solutions for a class of nonlinear partial differential equations of parabolic type. The equation is associated to a nonlocal initial c…
math.AP2018
Nonlocal solutions of parabolic equations with strongly elliptic differential operators
Irene Benedetti, Luisa Malaguti, Valentina Taddei
The paper deals with second order parabolic equations on bounded domains with Dirichlet conditions in arbitrary Euclidean spaces. Their interest comes from being models for describ…