The Cauchy problem for a quasilinear system when there are characteristic points on the initial surface
The problem of the existence, uniqueness and analyticity of a solution of the Cauchy problem in complex and real spaces for a quasilinear analytical set of equations are examined, when the initial data are specified on an analytical surface containing characteristic points, and an error occurs in the initial data and set of equations. In particular, the Cauchy problem with initial data on the envelope of one of the families of the characteristic surfaces of the system is examined.
scientific article; zbMATH DE number 3978667