Global Solution of the System of Wave and Klein-Gordon Equations.
Resolvent estimates and the decay of the solution to the wave equation with potential
We prove a weighted estimate for the solution to the linear wave equation with a smooth positive time independent potential. The proof is based on application of generalized Fourier transform for the perturbed Laplace operator and a finite dependence domain argument. We apply this estimate to prove the existence of global small data solution to supercritical semilinear wave equations with potential.
Inverse scattering problem for the Maxwell equations outside moving body
weighted estimate for the wave equation with potential
We consider a potential type perturbation of the three dimensional wave equation and we establish a dispersive estimate for the associated propagator. The main estimate is proved under the assumption that the potential satisfies where .
On Lipschitz continuity of the solution map for two-dimensional wave maps
Global existence of low regularity solutions of non-linear wave equations.
Strichartz Estimates for the Schrödinger Equation with small Magnetic Potential
RAGE theorem for power bounded operators and decay of local energy for moving obstacles
Solitary waves for Maxwell-Schrödinger equations.
Page 1