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Boundedness, Ultracontractive Bounds and Optimal Evolution of the Support for Doubly Nonlinear Anisotropic Diffusion
Simone Ciani, Vincenzo Vespri, Matias Vestberg
We investigate some regularity properties of a class of doubly nonlinear anisotropic evolution equations whose model case is \begin{align*} \partial_t \big(|u|^{α-1}u \big) - \sum^…
math.AP2023
A clustering theorem in fractional Sobolev spaces
Fatma Gamza Düzgün, Antonio Iannizzotto, Vincenzo Vespri
We prove a general clustering result for the fractional Sobolev space : whenever the positivity set of a function in a square has measure bounded from below by a multi…