Options
Critical exponent for wave equation with potential
Georgiev, Vladimir
Heiming, Charlotte
Kubo, Hideo
2000
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (2000) suppl.2
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
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.
Languages
en
File(s)