Singular Integral Operators, Quantitative Flatness, and B...
Marín, Juan José / Martell, José María / Mitrea, Marius / Mitrea, Irina / Mitrea, Dorina This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of an underlying surface and the functional analy...