Options
Dispersive Estimate for the Wave Equation with Short-Range Potential
Visciglia, Nicola
2003
Abstract
In this paper we consider a potential type perturbation of the three dimensional wave equation: $\Box u + V(x)u = 0 u(x, 0) = 0, \partial_t u(x, 0) = f$, where the potential $V \geq 0$ satisfies the following decay assumption: $|V (x)| \leq \frac{C}{1+|x|^{2+\epsilon_0}}$, for some C, $\epsilon_0 > 0$. We establish some dispersive estimates for the associated propagator.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
35 (2003)
Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Source
Nicola Visciglia, "Dispersive Estimate for the Wave Equation with Short-Range Potential", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 35 (2003), pp. 117–145.
Languages
en
File(s)