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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4279

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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