Elliptic, Hyperbolic and Mixed Complex. . V4

"In the recent half century, many mathematical authors have investigated various problems on several equations of mixed type and obtained interesting results, which possess important applications to gas dynamics. However, the Tricomi problem of general mixed equations of second order with parabolic degeneracy has not been completely solved, and the obtained results almost require some unnecessary conditions. This is especially so for the Tricomi and Frankl problems for general Chaplygin equation in multiply connected domains posed by L. Bers, and the existence, regularity of solutions of the above problems for mixed equations with non-smooth degenerate curve in several domains posed by J. M. Rassias." "The method revealed in this book is unlike any other, in which the hyperbolic number and hyperbolic complex function in hyperbolic domains, and the complex number and complex function in elliptic domains are used. In general, the corresponding problems for first order complex equations with singular coefficients are firstly discussed, and then the problems for second order complex equations are considered, where we pose the new partial derivatives notations and complex equations in hyperbolic and elliptic domains are wholly identical. In the meantime, the estimates of solutions for the above problems are obtained, hence many open problems including the above Tricomi-Bers and Tricomi-Frankl-Rassias problems can be solved."--BOOK JACKET.Wen, Guo Chun is the author of 'Elliptic, Hyperbolic and Mixed Complex. . V4', published 2008 under ISBN 9789812779427 and ISBN 9812779426.