On a complete initial-boundary value problem for parabolic pseudo-differential operators.
On the Dirichlet and Neumann problems in multi-dimensional cone
We consider an elliptic pseudodifferential equation in a multi-dimensional cone, and using the wave factorization concept for an elliptic symbol we describe a general solution of such equation in Sobolev-Slobodetskii spaces. This general solution depends on some arbitrary functions, their quantity being determined by an index of the wave factorization. For identifying these arbitrary functions one needs some additional conditions, for example, boundary conditions. Simple boundary value problems,...
On the Eigenvalue problem of T'Hooft.
On the order of pointwise convergence of some boundary element methods. Part I. Operators of negative and zero order
On the spectral theory of pseudo-differential elliptic boundary problems
On the super-approximation property of Galerkin's method with finite elements.
Opérateurs intégraux de Fourier et le problème de la dérivée oblique