Temps de vie et comportement explosif des solutions d'équations d'ondes quasi-linéaires en dimension deux
The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, II
The Cauchy problem for systems through the normal form of systems and theory of weighted determinant
The author propose what is the principal part of linear systems of partial differential equations in the Cauchy problem through the normal form of systems in the meromorphic formal symbol class and the theory of weighted determinant. As applications, he choose the necessary and sufficient conditions for the analytic well-posedness ( Cauchy-Kowalevskaya theorem ) and well-posedness (Levi condition).
The change in electric potential due to lightning
The change in the electric potential due to lightning is evaluated. The potential along the lightning channel is a constant which is the projection of the pre-flash potential along a piecewise harmonic eigenfunction which is constant along the lightning channel. The change in the potential outside the lightning channel is a harmonic function whose boundary conditions are expressed in terms of the pre-flash potential and the post-flash potential along the lightning channel. The expression for the...
The Dirichlet problem and weighted spaces. II.
The Isolated Point Singularity Problem for the Coupled Yang-Mills Equations in Higher Dimensions.
The space of exponentially decreasing entire functions and its application to solvability
Transformations de Laplace sur des sous-variétés de et représentations d’ondes entrantes et sortantes
Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz equation.