Vazquez: The theory of fractional p-Laplacian equations
Vazquez: password=lisbonwade We consider the time-dependent fractional $p$-Laplacian equation with parameter $p>1$ and fractional exponent $0<$ $s<1$. It is the gradient flow corresponding to the Gagliardo fractional energy. Our main result is the asymptotic behavior of solutions posed in the whole Euclidean space, which is given by a kind of Barenblatt solution whose existence relies on delicate analysis. We will concentrate on the sublinear or “fast” regime, $1<$ $p<2$, since it offers a richer theory. Fine bounds in the form of global Harnack inequalities are obtained as well as solutions having strong point singularities (Very Singular Solutions) that exist for a very special parameter interval. They are related to fractional elliptic problems of nonlinear eigenvalue form. Extinction phenomena are discussed. http://cvgmt.sns.it/seminar/798/
When
Thu Apr 22, 2021 1pm – 2pm Coordinated Universal Time
Where
WADE (Webinar in Analysis and Differential Equations) - Rome time (map)
