IMI/Publicaţii/BASM/Ediţii/BASM n.1 (11), 1993/

$L\sb 2$-estimates of solutions of the singular hyperbolic equations. (English)

Authors: Perjan A. V.


We consider the equation $Pu-\lambda Qu=f(x,\lambda)$, where $|\lambda |>1$ is a real parameter, $x\in R^{n+1}$, $P$ and $Q$ are hyperbolic operators with variables coefficients of order two and one respectively. $L_2$-estimates uniform in $\lambda$ for the solutions of this equation are established.

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