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math.AP2023★ 4 cited
Gradient bounds for strongly singular or degenerate parabolic systems
Pasquale Ambrosio, Fabian Bäuerlein
We consider weak solutions to parabolic systems of the type \[ u_{t}-\mathrm{div}\,A(x,t,Du)=f \qquad \mathrm{in}\ Ω_{T}=Ω\times(0,T), \] where $…
math.NA2023★ 8 cited
A physics-informed deep learning approach for solving strongly degenerate parabolic problems
Pasquale Ambrosio, Salvatore Cuomo, Mariapia De Rosa
In recent years, Scientific Machine Learning (SciML) methods for solving partial differential equations (PDEs) have gained increasing popularity. Within such a paradigm, Physics-In…