Les équations de Kelvin-Helmotz. Un problème bien posé uniquement dans le cadre analytique
L’existence d’une solution classique d’une éqéaire dans (Communication préalable)
Local existence of solutions for an aggregation equation in Besov spaces
We prove the local in time existence of solutions for an aggregation equation in Besov spaces. The Fourier localization technique and Littlewood-Paley theory are the main tools used in the proof.
Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics
Existence and uniqueness of local solutions for the initial-boundary value problem for the equations of an ideal relativistic fluid are proved. Both barotropic and nonbarotropic motions are considered. Existence for the linearized problem is shown by transforming the equations to a symmetric system and showing the existence of weak solutions; next, the appropriate regularity is obtained by applying Friedrich's mollifiers technique. Finally, existence for the nonlinear problem is proved by the method...
Local Existence of Weak Solutions to the Quasi-Linear Wave Equation for Large Initial Values.
Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables
Lp - Lp'-Estimates for Fourier Integral Operators Related to Hyperbolic Equations.
Lp-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen II.