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Young Women in Harmonic Analysis and PDE

December 2-4, 2016

Mara Sandoval-Romero (UNAM)

Hodge Decomposition on Differential forms with Besov and Triebel-Lizorkin class

This joint work is about a generalization of the results of the Hodge decomposition and regularity of differential forms that are solutions of an elliptic (in terms of Lopatinskii-Shapiro) partial differential equation with boundary conditions in a compact Riemannian manifolds with boundary. We study the problem on differential forms in a more general class of functions: the Triebel-Lizorkin spaces.