This volume applies theories of harmonic analysis to the study of nonlinear partial differential equations. It covers consolidation characterizations of differentiable function spaces, and the theory of three generations of C-Z singular integral operators, Fourier restriction estimation, Strichartz estimation, and Littlewood-Paley theory. It combines harmonic analysis methods with the study of partial differential equations.

Changxing Miao, Jiqiang Zheng, Inst. of Applied Physics and Computational Mathematics, CN; Bo Zhang, Inst. of Applied Mathematics, CN.