Identifiability for a class of discretized linear partial differential algebraic equations.
--Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity
We prove the --time decay estimates for the solution of the Cauchy problem for the hyperbolic system of partial differential equations of linear thermoelasticity. In our proof based on the matrix of fundamental solutions to the system we use Strauss-Klainerman’s approach [12], [5] to the --time decay estimates.
Mathematical model for the basilar membrane as a two dimensional plate.
Méthodes opérationnelles dans l'étude des problèmes aux limites
On a class of initial-boundary value problems in a domain with boundary containing isolated points
On boundary-value problems for partial differential equations of order higher than two
We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].
On Gardings inequality.
On generalized Drichlet problems.
On monotone difference schemes for weakly coupled systems of partial differential equations
Paramétrix 2-microlocales de la diffraction
Partial differential equations in domains with self-contact
Powers and Gevrey's regularity for a system of differential operators
Problème à dérivée oblique associé à des opérateurs elliptiques singuliers
Problème de Dirichlet pour des opérateurs hyperboliques de type positif
Quasi-analyticité et unicité du problème de Cauchy pour les solutions d'équations aux dérivées partielles
Removable singularities in the boundary conditions
Simplifying numerical solution of constrained PDE systems through involutive completion
When analysing general systems of PDEs, it is important first to find the involutive form of the initial system. This is because the properties of the system cannot in general be determined if the system is not involutive. We show that the notion of involutivity is also interesting from the numerical point of view. The use of the involutive form of the system allows one to consider quite general situations in a unified way. We illustrate our approach on the numerical solution of several flow equations...
Simplifying numerical solution of constrained PDE systems through involutive completion
When analysing general systems of PDEs, it is important first to find the involutive form of the initial system. This is because the properties of the system cannot in general be determined if the system is not involutive. We show that the notion of involutivity is also interesting from the numerical point of view. The use of the involutive form of the system allows one to consider quite general situations in a unified way. We illustrate our approach on the numerical solution of several flow equations...
Solution de l'équation d'Euler en dimension 2
Stability of Envelopes of Holomorphy and the Degenerate Monge-Ampère Equation.