In this paper we prove that if u is a solution to second-order hyperbolic equation where u is flat on a segment {0} × (−T, T) (T finite), then u vanishes in a neighborhood of {0} × (−T, T) . The novelty with respect to earlier papers on the subject is a nonvanishing damping coefficient in the hyperbolic equation.
Strong unique continuation for second‑order hyperbolic equations with time‑independent coefficients / Sergio Vessella. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 1618-1891. - STAMPA. - 200:(2021), pp. 1399-1415. [10.1007/s10231-020-01042-w]
Strong unique continuation for second‑order hyperbolic equations with time‑independent coefficients
Sergio Vessella
2021
Abstract
In this paper we prove that if u is a solution to second-order hyperbolic equation where u is flat on a segment {0} × (−T, T) (T finite), then u vanishes in a neighborhood of {0} × (−T, T) . The novelty with respect to earlier papers on the subject is a nonvanishing damping coefficient in the hyperbolic equation.File in questo prodotto:
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