Dispersive estimates for 2D-wave equations with critical potentials
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DOI: 10.1016/j.aim.2022.108333
Abstract: We study the 2D-wave equation with a scaling-critical electromagnetic potential. This problem is doubly critical, because of the scaling invariance of the model and the singularities of the potentials, which are not locally integrable. In… read more here.
Keywords: estimates wave; critical potentials; equations critical; wave equations ... See more keywords
Dispersive estimates for massive Dirac operators in dimension two
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DOI: 10.1016/j.jde.2018.01.019
Abstract: Abstract We study the massive two dimensional Dirac operator with an electric potential. In particular, we show that the t − 1 decay rate holds in the L 1 → L ∞ setting if the… read more here.
Keywords: dispersive estimates; threshold energies; dirac operators; estimates massive ... See more keywords
Pointwise dispersive estimates for Schrödinger operators on product cones
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DOI: 10.1016/j.jde.2022.02.060
Abstract: We investigate the dispersive properties of solutions to the Schrodinger equation with a weakly decaying radial potential on cones. If the potential has sufficient polynomial decay at infinity, then we show that the Schrodinger flow… read more here.
Keywords: estimates schr; dinger operators; pointwise dispersive; dispersive estimates ... See more keywords
Dispersive estimates for kinetic transport equation in Besov spaces
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DOI: 10.1080/00036811.2021.1976756
Abstract: Although Strichartz estimates have been widely applied for the nonlinear dispersive equations like Schro¨dinger equation and wave equation in Besov spaces, it is rare in nonlinear kinetic type equa... read more here.
Keywords: dispersive estimates; besov spaces; estimates kinetic; equation ... See more keywords