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math.AP2022★ 9 cited
Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation
Pasquale Ambrosio
We carry on the investigation started in [2] about the regularity of weak solutions to the strongly degenerate parabolic equation \[ u_{t}-\mathrm{div}\left[(\vert Du\vert-1)_{+}^{…
math.AP2022★ 15 cited
Regularity results for a class of widely degenerate parabolic equations
Pasquale Ambrosio, Antonia Passarelli di Napoli
Motivated by applications to gas filtration problems, we study the regularity of weak solutions to the strongly degenerate parabolic PDE $u_{t}-\mathrm{div}\left((\vert Du\vert-ν)_…