12 Ottobre, 2021 15:15

Sezione di Analisi

Strong unique continuation and local asymptotics at the boundary for fractional elliptic equations

Stefano Vita, Università di Torino

Aula Seminari III Piano, Dipartimento di Matematica

We study local asymptotics of solutions to fractional elliptic equations at boundary points, under some outer homogeneous Dirichlet boundary condition. Our analysis is based on a blow-up procedure which involves some Almgren type monotonicity formulæ and provides a classification of all possible homogeneity degrees of limiting entire profiles. As a consequence, we establish a strong unique continuation principle from boundary points. This is a joint work with A. De Luca and V. Felli.