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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.31 (2000) s2 >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4279
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| Title: | Critical exponent for wave equation with potential |
| Authors: | Georgiev, Vladimir
Heiming, Charlotte
Kubo, Hideo |
| Keywords: | Wave equation
decay estimates
global solution
wave equation with potential
semilinear equation |
| Issue Date: | 2000 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche |
| Citation: | V. Georgiev, C. Heiming and H. Kubo, "Critical exponent for wave equation with potential", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (2000) suppl.2, pp. 103-127. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (2000) suppl.2 |
| Abstract: | We establish a weighted L$^{\infty}$ estimate for the solution of
the linear wave equation with a smooth positive potential depending
only on space variables. This estimate is similar to F.John's estimates
in $\left(\left[9\right]\right)$ and enables one to prove existence
of global small data solution for the corresponding semilinear wave
equation with potential. |
| URI: | http://hdl.handle.net/10077/4279 |
| ISSN: | 0049-4704 |
| MS Classification: | 35A08
35L70
35L15
35L05 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.31 (2000) s2
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