This book is a collection of lecture notes for the LIASFMA School and Workshop on "Harmonic Analysis and Wave Equations" which was held on May 8–18, 2017 at Fudan University, in Shanghai, China. The aim of the LIASFMA School and Workshop is to bring together Chinese and French experts to discuss and dissect recent progress in these related fields; and to disseminate state of art, new knowledge and new concepts, to graduate students and junior researchers.