Singular Nonlinear Partial Differential Equations

Prof. Raymond Gerard ist am Institut de Recherche Mathematique Alsacien an der Universite Louis Pasteur in Strasbourg beschaftigt. Prof. Hidetoshi Tahara lehrt an der Sophia Universitat in Tokyo.

• Operators with regular singularities. One variable case - Operators with regular singularities. Several variables case - Formal and convergent solutions of singular partial differential equations - Local study of differential equations of the form xy' f(x,y) near x 0 - Holomorphic and singular solutions of non linear singular first order partial differential equations - Maillet's type theorems for non linear singular partial differential equations - Maillet's type theorems for non linear singular partial differential equations without linear part - Holomorphic and singular solutions of non linear singular partial differential equations - On the existence of holomorphic solutions of the Cauchy problem for non linear partial differential equations - Maillet's type theorems for non linear singular integro-differential equations.