The convergence estimates for Galerkin-wavelet solution of periodic pseudodifferential initial value problems.
The Fast Fourier Transform and the Numerical Solution of One-Dimensional Boundary Integral Equations.
The Oblique Derivative Problem. I.
The wave equation with oscillating density: observability at low frequency
We prove an observability estimate for a wave equation with rapidly oscillating density, in a bounded domain with Dirichlet boundary condition.
Time dependent Dirichlet space, mixed Dirichlet problem and pseudo-differential operators
Traces and quasi-traces on the Boutet de Monvel algebra
We construct an analogue of Kontsevich and Vishik’s canonical trace for pseudodifferential boundary value problems in the Boutet de Monvel calculus on compact manifolds with boundary. For an operator in the calculus (of class zero), and an auxiliary operator , formed of the Dirichlet realization of a strongly elliptic second- order differential operator and an elliptic operator on the boundary, we consider the coefficient of in the asymptotic expansion of the resolvent trace (with large)...