Sur une équation quasilinéaire d'ordre 2 non elliptique
Symmetrization in nonlinear parabolic equations
Systémes de base des solutions polynomials concernant une classe d'équations polilinéaires d'ordre supérieur aux operateurs differents, dont certains sont les opérateurs polyvibrants.
Systèmes mathématiques aux structures entremelées. Problèmes aux limites pour certains systèmes différentiels aux différences, ordinaires ou aux dérivées totales au sens de M. M. Picone
Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity
In this paper, we develop a thermodynamically consistent description of the uniaxial behavior of thermovisco-elastoplastic materials for which the total stress contains, in addition to elastic, viscous and thermic contributions, a plastic component of the form . Here and are the fields of strain and absolute temperature, respectively, and denotes a family of (rate-independent) hysteresis operators of Prandtl-Ishlinskii type, parametrized by the absolute temperature. The system of momentum...
The behavior at infinity of a solution to a Sobolev type system.
The Bremermann-Dirichlet problem for -plurisubharmonic functions
The Cauchy problem and Hadamard's example
The Cauchy problem for operators with injective symbol in the Lebesgue space in a domain.
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 Cauchy problem for the coupled Klein-Gordon-Schrödinger system
We consider the Cauchy problem for a generalized Klein-Gordon-Schrödinger system with Yukawa coupling. We prove the existence of global weak solutions by the compactness method and, through a special choice of the admissible pairs to match two types of equations, we prove the uniqueness of those solutions by an approach similar to the method presented by J. Ginibre and G. Velo for the pure Klein-Gordon equation or pure Schrödinger equation. Though it is very simple in form, the method has an unnatural...
The decomposition method for linear, one-dimensional, time-dependent partial differential equations.
The different solutions of the partial differential equations and the comparing of them
The Dirichlet problem and weighted spaces. I.
The Dirichlet-Neumann operator on continuous functions
The Equation of Motion of a Chain.
The evolution of the Dirac field in cuved space-times.
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 extended tanh-mehtod for finding traveling wave solutions of nonlinear evolution equations.
The Fourier method for the linear partial differential equations of the -th order