TY - JOUR T1 - On the Cauchy Problem for the Equation of Finite-depth Fluids AU - Zhou Yulin, Guo Boling & Tan Shaobin JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 16 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5724.html KW - Singular integral differential equation KW - Joseph equation KW - Cauchy problem KW - a priori estimates KW - Solvability AB - Some properties of the singular integral operator G(⋅) and the solvability of Cauchy problem for the singular integral-differential equations (1.1) and (1.2) of finite-depth fluids are studied.