A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups.
A non solvable operator satisfying condition ()
A note on continuity of pseudodifferential operators in Hardy spaces.
A note on the regularity of the solutions to two variational inequalities involving a pseudodifferential operator.
A parametrix construction for wave equations with coefficients
In this article we give a construction of the wave group for variable coefficient, time dependent wave equations, under the hypothesis that the coefficients of the principal term possess two bounded derivatives in the spatial variables, and one bounded derivative in the time variable. We use this construction to establish the Strichartz and Pecher estimates for solutions to the Cauchy problem for such equations, in space dimensions and .
A problem of transversal anisotropic ellipticity
A Remark on a boundary contact problem in linear elasticity.
A Remark on Invariant Pseudo-Differential Operators.
A symbolic calculus and a parametrix construction for pseudodifferential operators with non-smooth negative definite symbols.
A Wiener algebra for the Fefferman-Phong inequality
Adjoints of elliptic boundary value problems
An accuracy improvement in Egorov's theorem.
We prove that the theorem of Egorov, on the canonical transformation of symbols of pseudodifferential operators conjugated by Fourier integral operators, can be sharpened. The main result is that the statement of Egorov's theorem remains true if, instead of just considering the principal symbols in Sm/Sm-1 for the pseudodifferential operators, one uses refined principal symbols in Sm/Sm-2, which for classical operators correspond simply to the principal plus the subprincipal symbol, and can generally...
An analysis of quantum Fokker-Planck models: a Wigner function approach.
The analysis of dissipative transport equations within the framework of open quantum systems with Fokker-Planck-type scattering is carried out from the perspective of a Wigner function approach. In particular, the well-posedness of the self-consistent whole-space problem in 3D is analyzed: existence of solutions, uniqueness and asymptotic behavior in time, where we adopt the viewpoint of mild solutions in this paper. Also, the admissibility of a density matrix formulation in Lindblad form with Fokker-Planck...
An analytical index formula for elliptic pseudo-differential boundary problems in the half-space
An Iff solvability condition for the oblique derivative problem
An -analogue of the Vishik-Eskin theory.
Analogue d'un Lemme de Kohn et Nirenberg
Analycity of the Semigroup Generated by the Stokes Operator.
Analyse harmonique non linéaire
Analyse microlocale et équations d’évolution