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, VladimirHeiming, CharlotteKubo, Hideo Keywords: Wave equationdecay estimatesglobal solutionwave equation with potentialsemilinear 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 Mathematics31 (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: 35A0835L7035L1535L05 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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