11 citations · 15 across the 8 of their papers we have counts for
8 papers
High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates
Fernando Cardoso, Claudio Cuevas, Georgi Vodev
We prove optimal high-frequency resolvent estimates for perturbations of the Laplacian by large long-range magnetic and electric potentials in all dimensions . As an applic…
Semi-classical dispersive estimates
Fernando Cardoso, Claudio Cuevas, Georgi Vodev
We prove dispersive estimates for the wave and Schrodinger groups associated to a second-order elliptic self-adjoint operator depending on a semi-classical parameter. Applications…
Optimal dispersive estimates for the wave equation with potentials in dimensions
Fernando Cardoso, Georgi Vodev
We prove optimal dispersive estimates for the wave group for a class of real-valued potentials , , such that $\partial…
High frequency dispersive estimates for the Schrodinger equation in high dimensions
Fernando Cardoso, Claudio Cuevas, Georgi Vodev
We prove optimal dispersive estimates at high frequency for the Schrodinger group with real-valued potentials , , and , , where…
Boundary stabilization of transmission problems
Fernando Cardoso, Georgi Vodev
We study the transmission problem in bounded domains with dissipative boundary conditions. Under some natural assumptions, we prove uniform bounds of the corresponding resolvents o…
Dispersive estimates for the Schrodinger equation in dimensions four and five
Fernando Cardoso, Claudio Cuevas, Georgi Vodev
We prove optimal (that is, without loss of derivatives) dispersive estimates for the Schrodinger group for a class of real-valued potentials with $k>…