Initial boundary value problem for a system in elastodynamics with viscosity.
Initial boundary value problem for generalized Zakharov equations
This paper considers the existence and uniqueness of the solution to the initial boundary value problem for a class of generalized Zakharov equations in dimensions, and proves the global existence of the solution to the problem by a priori integral estimates and the Galerkin method.
Initial boundary value problems of the Degasperis-Procesi equation
We mainly study initial boundary value problems for the Degasperis-Procesi equation on the half line and on a compact interval. By the symmetry of the equation, we can convert these boundary value problems into Cauchy problems on the line and on the circle, respectively. Applying thus known results for the equation on the line and on the circle, we first obtain the local well-posedness of the initial boundary value problems. Then we present some blow-up and global existence results for strong solutions....
Initial value problems in elasticity
Initial Value Problems in Lp for Systems with Variable Coefficients.
Initial-boundary value problem for the discrete Boltzmann equation
Initial-boundary value problem with a nonlocal condition for a viscosity equation.
Initial-boundary value problems for second order systems of partial differential equations
We develop a well-posedness theory for second order systems in bounded domains where boundary phenomena like glancing and surface waves play an important role. Attempts have previously been made to write a second order system consisting of n equations as a larger first order system. Unfortunately, the resulting first order system consists, in general, of more than 2n equations which leads to many complications, such as side conditions which must be satisfied by the solution of the larger first order...
Initial-boundary value problems for second order systems of partial differential equations∗
We develop a well-posedness theory for second order systems in bounded domains where boundary phenomena like glancing and surface waves play an important role. Attempts have previously been made to write a second order system consisting of n equations as a larger first order system. Unfortunately, the resulting first order system consists, in general, of more than 2n equations which leads to many complications, such as side conditions which must...
Injections de Sobolev critiques, mesures microlocales et ondes non linéaires
Injections de Sobolev probabilistes et applications
On démontre dans cet article des versions probabilistes des injections de Sobolev sur une variété riemannienne compacte, . Plus précisément on démontre que pour des mesures de probabilité naturelles sur l’espace , presque toute fonction appartient à tous les espaces , . On donne ensuite des applications à l’étude des harmoniques sphériques sur la sphère : on démontre (encore pour des mesures de probabilité naturelles) que presque toute base hilbertienne de formée d’harmoniques sphériques...
Instantaneous blow-up of solutions to a class of hyperbolic inequalities.
Intégrabilité d'une classe de systèmes de lois de conservation.
Integrable anisotropic evolution equations on a sphere.
Integration of Monge-Ampère equations and surfaces with negative gaussian curvature
Interaction contrôlée dans les équations aux dérivées partielles non linéaires
Interaction de chocs
Interaction des singularités pour les équations aux dérivées partielles non linéaires
Interaction des singularités pour les équations aux dérivées partielles non linéaires
Interaction d'ondes simples pour des équations complètement non-linéaires