1 citations · 1 across the 3 of their papers we have counts for
5 papers
Interacting fronts in the strongly nonlocal Allen--Cahn equation
Erisa Hasani, Stefania Patrizi
We study the sharp-interface limit of the fractional Allen--Cahn equation in , , in the strongly nonlocal regime , for initial data consisting of fi…
The strongly nonlocal Allen-Cahn problem
Erisa Hasani, Stefania Patrizi
We study the sharp interface limit of the fractional Allen-Cahn equation $$ \varepsilon \partial_t u^{\varepsilon} = \mathcal{I}^s_n [u^{\varepsilon}] -\frac{1}{\varepsilon ^{2s}}…
Generating synthetic data for neural operators
Erisa Hasani, Rachel A. Ward
Recent advances in the literature show promising potential of deep learning methods, particularly neural operators, in obtaining numerical solutions to partial differential equatio…
On the critical -Kirchhoff equation
Erisa Hasani, Kanishka Perera
We study a nonlocal elliptic equation of -Kirchhoff type involving the critical Sobolev exponent. First we give sufficient conditions for the (PS) condition to hold. Then we pro…
On the compactness threshold in the critical Kirchhoff equation
Erisa Hasani, Kanishka Perera
We study a class of critical Kirchhoff problems with a general nonlocal term. The main difficulty here is the absence of a closed-form formula for the compactness threshold. First…