Smoothing and dispersive properties of evolution equations with potential perturbations.
Hokkaido Mathematical Journal, 37 (2008) pp.715-734
We survey a group of joint results with different authors concerning the decay properties of evolution equations with variable coefficients. The problems studied include the wave, Schrödinger and Dirac equation, perturbed with electromagnetic potentials, and the main focus of the paper is on global dispersive and Strichartz estimates when the coefficients are of low regularity and of critical decay.
|Uncontrolled Keywords||hyperbolic equations, dispersive estimates, Strichartz estimates, dispersive equations, Schrödinger equation, Dirac equation, magnetic potential.|