The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.
Inhaltsverzeichnis
Start of the Study on Analysis of Singularities; Analysis of Singularities for Linear PDEs; Analysis of Singularities for Nonlinear PDEs; Propagation of Singularities for Full Nonlinear Equations; Propagation of Strong Singularities; Formation of Shocks.