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- W2055985115 abstract "We prove the uniqueness for the inverse problem of determining a coefficient $q(x)$ in $partial _t^2 u(x,t) = uDelta u(x,t) - q(x)u(x,t)$ for $x in R^n$ and $t > 0$, from observations of $uvert_{Gammatimes(0,T)}$ and the normal derivative $frac{partial u}{partial nu}vert_{Gammatimes(0,T)}$ where $Gamma$ is an arbitrary $C^{infty}$-hypersurface. Our main result asserts the uniqueness of $q$ over $R^n$ provided that $T > 0$ is sufficiently large and $q$ is analytic near $Gamma$ and outside a ball. The proof depends on Fritz John's global Holmgren theorem and the uniqueness by a Carleman estimate." @default.
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- W2055985115 date "2004-10-01" @default.
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- W2055985115 title "A uniqueness result in an inverse hyperbolic problem with analyticity" @default.
- W2055985115 doi "https://doi.org/10.1017/s0956792504005649" @default.
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