The spectral distribution of a globally elliptic operator
A necessary condition of local solvability for pseudo-differential equations with double characteristics
Pseudodifferential operators are studied, from the viewpoint of local solvability and under the assumption that, micro-locally, the principal symbol factorizes as with elliptic, homogeneous of degree , and homogeneous of degree one, satisfying the following condition : there is a point in the characteristic variety and a complex number such that at and such that the restriction of to the bicharacteristic strip of vanishes of order at , changing sign there from minus to...
Singularities of the scattering kernel for generic obstacles
On the Stabilization of the Wave Equation by the Boundary
* Partially supported by CNPq (Brazil) We study the distribution of the (complex) eigenvalues for interior boundary value problems with dissipative boundary conditions in the case of C 1 -smooth boundary under some natural assumption on the behaviour of the geodesics. As a consequence we obtain energy decay estimates of the solutions of the corresponding wave equation.
Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions Two and Three
2000 Mathematics Subject Classification: 35L15, 35B40, 47F05. We prove dispersive estimates for solutions to the wave equation with a real-valued potential V.
Une nouvelle démonstration d'une généralisation du théorème de représentation de Riesz
Weighted Dispersive Estimates for Solutions of the Schrödinger Equation
2000 Mathematics Subject Classification: 35L15, 35B40, 47F05. Introduction and statement of results. In the present paper we will be interested in studying the decay properties of the Schrödinger group. The authors have been supported by the agreement Brazil-France in Mathematics – Proc. 69.0014/01-5. The first two authors have also been partially supported by the CNPq-Brazil.
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