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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.35 (2003)
  6. Dispersive Estimate for the Wave Equation with Short-Range Potential
 
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Dispersive Estimate for the Wave Equation with Short-Range Potential

Visciglia, Nicola
2003
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ISSN
0049-4704
http://hdl.handle.net/10077/4195
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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)
Subjects
  • dispersive estimates

  • resolvent estimates

  • Wave Equation with po...

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.
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