| Abstract: |
| In this talk I consider non autonomous fractional semilinear equations with Venttsel-type boundary conditions in irregular domains, possibly with fractal boundaries. Well posedness and regularity results for the mild solution of the associated semilinear abstract Cauchy problem via an evolution family $U(t, s)$ will be discussed as well as ultracontractivity properties of the evolution family.
Some open problems will be discussed too.
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These results are in collaboration with Simone Creo. |
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