Abstract
The aim of this paper is to derive $L^{p}$-$L^{q}$ estimates for strictly hyperbolic equations with time-dependent coefficients which are of Lipschitz class. Further-more, $L^{p}$-$L^{q}$ estimates for Kirchhoff equation can be obtained by applying the Schauder-Tychonoff fixed point theorem.
Citation
Tokio Matsuyama. "$L^{p}$-$L^{q}$ estimates for wave equations and the Kirchhoff equation." Osaka J. Math. 45 (2) 491 - 510, June 2008.
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