Abstract
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 V≥ satisfies |V(x)|≤C/(1+|x|)2+ε0.
| Original language | English |
|---|---|
| Pages (from-to) | 109-135 |
| Number of pages | 27 |
| Journal | Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni |
| Volume | 14 |
| Issue number | 2 |
| Publication status | Published - 2003 |
| Externally published | Yes |
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Keywords
- Fredholm theory
- Perturbed wave equation
- Resolvent estimates
- Spectral theory
ASJC Scopus subject areas
- Mathematics(all)
Cite this
L∞ - L2 weighted estimate for the wave equation with potential. / Gueorguiev, Vladimir Simeonov; Visciglia, Nicola.
In: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni, Vol. 14, No. 2, 2003, p. 109-135.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - L∞ - L2 weighted estimate for the wave equation with potential
AU - Gueorguiev, Vladimir Simeonov
AU - Visciglia, Nicola
PY - 2003
Y1 - 2003
N2 - 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 V≥ satisfies |V(x)|≤C/(1+|x|)2+ε0.
AB - 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 V≥ satisfies |V(x)|≤C/(1+|x|)2+ε0.
KW - Fredholm theory
KW - Perturbed wave equation
KW - Resolvent estimates
KW - Spectral theory
UR - http://www.scopus.com/inward/record.url?scp=84887493019&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84887493019&partnerID=8YFLogxK
M3 - Article
VL - 14
SP - 109
EP - 135
JO - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
JF - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
SN - 1120-6330
IS - 2
ER -