The Cauchy problem and Hadamard's example
The different solutions of the partial differential equations and the comparing of them
The existence and uniqueness theorem in Biot's consolidation theory
Existence and uniqueness theorem is established for a variational problem including Biot's model of consolidation of clay. The proof of existence is constructive and uses the compactness method. Error estimates for the approximate solution obtained by a method combining finite elements and Euler's backward method are given.
The Fourier method for the linear partial differential equations of the -th order
The function classes and global linear Goursat problems
The general method for solving of the boundary problems for the partial differential equations of any order II
The general method for solving the partial differential equation of any order with unknown function depending on any number of arguments and the system of such equations
The Laplace method of the linear partial differential equations of the -th order
Théorème de Cauchy-Kovalevsky et théorème d'unicité d'Holmgren pour des fonctions analytiques d'une infinité de variables
Time deformations of powers of the wave operator.